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Finding the Fourth Proportional to 287,678.60, 428,121.24 and 278,099.85

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Solution

The fourth proportional to 287,678.60, 428,121.24 and 278,099.85 is: 413,866.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,678.60 : 428,121.24 = 278,099.85 : x
  2. Step 2: Convert to fraction form
    287,678.60/428,121.24 = 278,099.85/x
  3. Step 3: Cross multiply
    287,678.60x = 428,121.24 × 278,099.85
  4. Step 4: Simplify right side
    287,678.60x = 119,060,453,188.39
  5. Step 5: Solve for x
    x = 119,060,453,188.39/287,678.60
  6. Step 6: Final answer
    x = 413,866.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.