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Finding the Fourth Proportional to 287,729.10, 431,593.65 and 74,496.60

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Solution

The fourth proportional to 287,729.10, 431,593.65 and 74,496.60 is: 111,744.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,729.10 : 431,593.65 = 74,496.60 : x
  2. Step 2: Convert to fraction form
    287,729.10/431,593.65 = 74,496.60/x
  3. Step 3: Cross multiply
    287,729.10x = 431,593.65 × 74,496.60
  4. Step 4: Simplify right side
    287,729.10x = 32,152,259,506.59
  5. Step 5: Solve for x
    x = 32,152,259,506.59/287,729.10
  6. Step 6: Final answer
    x = 111,744.90

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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.