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Finding the Fourth Proportional to 345,438, 517,934.34 and 145,704.96

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Solution

The fourth proportional to 345,438, 517,934.34 and 145,704.96 is: 218,463.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,438 : 517,934.34 = 145,704.96 : x
  2. Step 2: Convert to fraction form
    345,438/517,934.34 = 145,704.96/x
  3. Step 3: Cross multiply
    345,438x = 517,934.34 × 145,704.96
  4. Step 4: Simplify right side
    345,438x = 75,465,602,292.33
  5. Step 5: Solve for x
    x = 75,465,602,292.33/345,438
  6. Step 6: Final answer
    x = 218,463.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.