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Finding the Fourth Proportional to 712,012.68, 982,601.28 and 406,134

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Solution

The fourth proportional to 712,012.68, 982,601.28 and 406,134 is: 560,478.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,012.68 : 982,601.28 = 406,134 : x
  2. Step 2: Convert to fraction form
    712,012.68/982,601.28 = 406,134/x
  3. Step 3: Cross multiply
    712,012.68x = 982,601.28 × 406,134
  4. Step 4: Simplify right side
    712,012.68x = 399,067,788,251.52
  5. Step 5: Solve for x
    x = 399,067,788,251.52/712,012.68
  6. Step 6: Final answer
    x = 560,478.49

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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.