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Finding the Fourth Proportional to 432,456.40, 647,129.40 and 292,488.40

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Solution

The fourth proportional to 432,456.40, 647,129.40 and 292,488.40 is: 437,680.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,456.40 : 647,129.40 = 292,488.40 : x
  2. Step 2: Convert to fraction form
    432,456.40/647,129.40 = 292,488.40/x
  3. Step 3: Cross multiply
    432,456.40x = 647,129.40 × 292,488.40
  4. Step 4: Simplify right side
    432,456.40x = 189,277,842,798.96
  5. Step 5: Solve for x
    x = 189,277,842,798.96/432,456.40
  6. Step 6: Final answer
    x = 437,680.75

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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.