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Finding the Fourth Proportional to 431,925.10, 648,211.65 and 221,454.70

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Solution

The fourth proportional to 431,925.10, 648,211.65 and 221,454.70 is: 332,348.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,925.10 : 648,211.65 = 221,454.70 : x
  2. Step 2: Convert to fraction form
    431,925.10/648,211.65 = 221,454.70/x
  3. Step 3: Cross multiply
    431,925.10x = 648,211.65 × 221,454.70
  4. Step 4: Simplify right side
    431,925.10x = 143,549,516,487.26
  5. Step 5: Solve for x
    x = 143,549,516,487.26/431,925.10
  6. Step 6: Final answer
    x = 332,348.17

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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.