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Finding the Fourth Proportional to 513,691.44, 709,069.20 and 299,011.92

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Solution

The fourth proportional to 513,691.44, 709,069.20 and 299,011.92 is: 412,738.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,691.44 : 709,069.20 = 299,011.92 : x
  2. Step 2: Convert to fraction form
    513,691.44/709,069.20 = 299,011.92/x
  3. Step 3: Cross multiply
    513,691.44x = 709,069.20 × 299,011.92
  4. Step 4: Simplify right side
    513,691.44x = 212,020,142,904.86
  5. Step 5: Solve for x
    x = 212,020,142,904.86/513,691.44
  6. Step 6: Final answer
    x = 412,738.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.