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Finding the Fourth Proportional to 513,700.79, 708,597.14 and 339,272.06

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Solution

The fourth proportional to 513,700.79, 708,597.14 and 339,272.06 is: 467,990.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,700.79 : 708,597.14 = 339,272.06 : x
  2. Step 2: Convert to fraction form
    513,700.79/708,597.14 = 339,272.06/x
  3. Step 3: Cross multiply
    513,700.79x = 708,597.14 × 339,272.06
  4. Step 4: Simplify right side
    513,700.79x = 240,407,206,158.56
  5. Step 5: Solve for x
    x = 240,407,206,158.56/513,700.79
  6. Step 6: Final answer
    x = 467,990.72

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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.