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Finding the Fourth Proportional to 561,405.80, 842,115.90 and 187,428.80

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Solution

The fourth proportional to 561,405.80, 842,115.90 and 187,428.80 is: 281,145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,405.80 : 842,115.90 = 187,428.80 : x
  2. Step 2: Convert to fraction form
    561,405.80/842,115.90 = 187,428.80/x
  3. Step 3: Cross multiply
    561,405.80x = 842,115.90 × 187,428.80
  4. Step 4: Simplify right side
    561,405.80x = 157,836,772,597.92
  5. Step 5: Solve for x
    x = 157,836,772,597.92/561,405.80
  6. Step 6: Final answer
    x = 281,145.60

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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.