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Finding the Fourth Proportional to 712,098.61, 982,671.45 and 406,274

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Solution

The fourth proportional to 712,098.61, 982,671.45 and 406,274 is: 560,644.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,098.61 : 982,671.45 = 406,274 : x
  2. Step 2: Convert to fraction form
    712,098.61/982,671.45 = 406,274/x
  3. Step 3: Cross multiply
    712,098.61x = 982,671.45 × 406,274
  4. Step 4: Simplify right side
    712,098.61x = 399,233,860,677.30
  5. Step 5: Solve for x
    x = 399,233,860,677.30/712,098.61
  6. Step 6: Final answer
    x = 560,644.07

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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.