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Finding the Fourth Proportional to 429,437.52, 643,817.48 and 271,332.72

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Solution

The fourth proportional to 429,437.52, 643,817.48 and 271,332.72 is: 406,785.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,437.52 : 643,817.48 = 271,332.72 : x
  2. Step 2: Convert to fraction form
    429,437.52/643,817.48 = 271,332.72/x
  3. Step 3: Cross multiply
    429,437.52x = 643,817.48 × 271,332.72
  4. Step 4: Simplify right side
    429,437.52x = 174,688,748,031.95
  5. Step 5: Solve for x
    x = 174,688,748,031.95/429,437.52
  6. Step 6: Final answer
    x = 406,785.02

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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.