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Finding the Fourth Proportional to 437,489.14, 656,468.98 and 421,565.22

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Solution

The fourth proportional to 437,489.14, 656,468.98 and 421,565.22 is: 632,574.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,489.14 : 656,468.98 = 421,565.22 : x
  2. Step 2: Convert to fraction form
    437,489.14/656,468.98 = 421,565.22/x
  3. Step 3: Cross multiply
    437,489.14x = 656,468.98 × 421,565.22
  4. Step 4: Simplify right side
    437,489.14x = 276,744,487,869.05
  5. Step 5: Solve for x
    x = 276,744,487,869.05/437,489.14
  6. Step 6: Final answer
    x = 632,574.54

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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.