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Finding the Fourth Proportional to 287,382.29, 431,140.46 and 87,702.30

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Solution

The fourth proportional to 287,382.29, 431,140.46 and 87,702.30 is: 131,573.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,382.29 : 431,140.46 = 87,702.30 : x
  2. Step 2: Convert to fraction form
    287,382.29/431,140.46 = 87,702.30/x
  3. Step 3: Cross multiply
    287,382.29x = 431,140.46 × 87,702.30
  4. Step 4: Simplify right side
    287,382.29x = 37,812,009,526.55
  5. Step 5: Solve for x
    x = 37,812,009,526.55/287,382.29
  6. Step 6: Final answer
    x = 131,573.91

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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.