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Finding the Fourth Proportional to 712,099.24, 982,672.31 and 406,274.62

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Solution

The fourth proportional to 712,099.24, 982,672.31 and 406,274.62 is: 560,644.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,099.24 : 982,672.31 = 406,274.62 : x
  2. Step 2: Convert to fraction form
    712,099.24/982,672.31 = 406,274.62/x
  3. Step 3: Cross multiply
    712,099.24x = 982,672.31 × 406,274.62
  4. Step 4: Simplify right side
    712,099.24x = 399,234,819,329.77
  5. Step 5: Solve for x
    x = 399,234,819,329.77/712,099.24
  6. Step 6: Final answer
    x = 560,644.92

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1.5x scale

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.