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Finding the Fourth Proportional to 513,419.91, 708,302.52 and 343,708.71

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Solution

The fourth proportional to 513,419.91, 708,302.52 and 343,708.71 is: 474,172.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,419.91 : 708,302.52 = 343,708.71 : x
  2. Step 2: Convert to fraction form
    513,419.91/708,302.52 = 343,708.71/x
  3. Step 3: Cross multiply
    513,419.91x = 708,302.52 × 343,708.71
  4. Step 4: Simplify right side
    513,419.91x = 243,449,745,438.95
  5. Step 5: Solve for x
    x = 243,449,745,438.95/513,419.91
  6. Step 6: Final answer
    x = 474,172.78

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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.