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Finding the Fourth Proportional to 287,386.25, 431,079.10 and 135,547.90

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Solution

The fourth proportional to 287,386.25, 431,079.10 and 135,547.90 is: 203,321.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,386.25 : 431,079.10 = 135,547.90 : x
  2. Step 2: Convert to fraction form
    287,386.25/431,079.10 = 135,547.90/x
  3. Step 3: Cross multiply
    287,386.25x = 431,079.10 × 135,547.90
  4. Step 4: Simplify right side
    287,386.25x = 58,431,865,322.32
  5. Step 5: Solve for x
    x = 58,431,865,322.32/287,386.25
  6. Step 6: Final answer
    x = 203,321.72

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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.