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Finding the Fourth Proportional to 704,822.90, 972,213.17 and 418,140

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Solution

The fourth proportional to 704,822.90, 972,213.17 and 418,140 is: 576,770.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,822.90 : 972,213.17 = 418,140 : x
  2. Step 2: Convert to fraction form
    704,822.90/972,213.17 = 418,140/x
  3. Step 3: Cross multiply
    704,822.90x = 972,213.17 × 418,140
  4. Step 4: Simplify right side
    704,822.90x = 406,521,212,813.10
  5. Step 5: Solve for x
    x = 406,521,212,813.10/704,822.90
  6. Step 6: Final answer
    x = 576,770.73

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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.