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Finding the Fourth Proportional to 512,956.18, 707,965.65 and 347,309.02

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Solution

The fourth proportional to 512,956.18, 707,965.65 and 347,309.02 is: 479,344.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,956.18 : 707,965.65 = 347,309.02 : x
  2. Step 2: Convert to fraction form
    512,956.18/707,965.65 = 347,309.02/x
  3. Step 3: Cross multiply
    512,956.18x = 707,965.65 × 347,309.02
  4. Step 4: Simplify right side
    512,956.18x = 245,882,856,095.16
  5. Step 5: Solve for x
    x = 245,882,856,095.16/512,956.18
  6. Step 6: Final answer
    x = 479,344.76

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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.