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Finding the Fourth Proportional to 282,458.60, 423,702.47 and 72,098.36

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Solution

The fourth proportional to 282,458.60, 423,702.47 and 72,098.36 is: 108,151.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,458.60 : 423,702.47 = 72,098.36 : x
  2. Step 2: Convert to fraction form
    282,458.60/423,702.47 = 72,098.36/x
  3. Step 3: Cross multiply
    282,458.60x = 423,702.47 × 72,098.36
  4. Step 4: Simplify right side
    282,458.60x = 30,548,251,276.68
  5. Step 5: Solve for x
    x = 30,548,251,276.68/282,458.60
  6. Step 6: Final answer
    x = 108,151.25

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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.