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Finding the Fourth Proportional to 547,993, 821,989.50 and 154,009

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Solution

The fourth proportional to 547,993, 821,989.50 and 154,009 is: 231,013.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,993 : 821,989.50 = 154,009 : x
  2. Step 2: Convert to fraction form
    547,993/821,989.50 = 154,009/x
  3. Step 3: Cross multiply
    547,993x = 821,989.50 × 154,009
  4. Step 4: Simplify right side
    547,993x = 126,593,780,905.50
  5. Step 5: Solve for x
    x = 126,593,780,905.50/547,993
  6. Step 6: Final answer
    x = 231,013.50

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.