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Finding the Fourth Proportional to 513,679.30, 708,829.17 and 347,769.78

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Solution

The fourth proportional to 513,679.30, 708,829.17 and 347,769.78 is: 479,889.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,679.30 : 708,829.17 = 347,769.78 : x
  2. Step 2: Convert to fraction form
    513,679.30/708,829.17 = 347,769.78/x
  3. Step 3: Cross multiply
    513,679.30x = 708,829.17 × 347,769.78
  4. Step 4: Simplify right side
    513,679.30x = 246,509,364,508.48
  5. Step 5: Solve for x
    x = 246,509,364,508.48/513,679.30
  6. Step 6: Final answer
    x = 479,889.62

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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.