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Finding the Fourth Proportional to 287,863.68, 431,534.16 and 100,773.12

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Solution

The fourth proportional to 287,863.68, 431,534.16 and 100,773.12 is: 151,068.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,863.68 : 431,534.16 = 100,773.12 : x
  2. Step 2: Convert to fraction form
    287,863.68/431,534.16 = 100,773.12/x
  3. Step 3: Cross multiply
    287,863.68x = 431,534.16 × 100,773.12
  4. Step 4: Simplify right side
    287,863.68x = 43,487,043,689.78
  5. Step 5: Solve for x
    x = 43,487,043,689.78/287,863.68
  6. Step 6: Final answer
    x = 151,068.19

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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.