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Finding the Fourth Proportional to 352,646.40, 527,433.60 and 315,475.20

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Solution

The fourth proportional to 352,646.40, 527,433.60 and 315,475.20 is: 471,838.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,646.40 : 527,433.60 = 315,475.20 : x
  2. Step 2: Convert to fraction form
    352,646.40/527,433.60 = 315,475.20/x
  3. Step 3: Cross multiply
    352,646.40x = 527,433.60 × 315,475.20
  4. Step 4: Simplify right side
    352,646.40x = 166,392,220,446.72
  5. Step 5: Solve for x
    x = 166,392,220,446.72/352,646.40
  6. Step 6: Final answer
    x = 471,838.70

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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.