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Finding the Fourth Proportional to 547,758.40, 821,637.60 and 192,769.60

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Solution

The fourth proportional to 547,758.40, 821,637.60 and 192,769.60 is: 289,154.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,758.40 : 821,637.60 = 192,769.60 : x
  2. Step 2: Convert to fraction form
    547,758.40/821,637.60 = 192,769.60/x
  3. Step 3: Cross multiply
    547,758.40x = 821,637.60 × 192,769.60
  4. Step 4: Simplify right side
    547,758.40x = 158,386,751,496.96
  5. Step 5: Solve for x
    x = 158,386,751,496.96/547,758.40
  6. Step 6: Final answer
    x = 289,154.40

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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.