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Finding the Fourth Proportional to 287,516.32, 431,098.80 and 137,802.40

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Solution

The fourth proportional to 287,516.32, 431,098.80 and 137,802.40 is: 206,619.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,516.32 : 431,098.80 = 137,802.40 : x
  2. Step 2: Convert to fraction form
    287,516.32/431,098.80 = 137,802.40/x
  3. Step 3: Cross multiply
    287,516.32x = 431,098.80 × 137,802.40
  4. Step 4: Simplify right side
    287,516.32x = 59,406,449,277.12
  5. Step 5: Solve for x
    x = 59,406,449,277.12/287,516.32
  6. Step 6: Final answer
    x = 206,619.40

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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.