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Finding the Fourth Proportional to 678,319.80, 935,757.81 and 406,257

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Solution

The fourth proportional to 678,319.80, 935,757.81 and 406,257 is: 560,440.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,319.80 : 935,757.81 = 406,257 : x
  2. Step 2: Convert to fraction form
    678,319.80/935,757.81 = 406,257/x
  3. Step 3: Cross multiply
    678,319.80x = 935,757.81 × 406,257
  4. Step 4: Simplify right side
    678,319.80x = 380,158,160,617.17
  5. Step 5: Solve for x
    x = 380,158,160,617.17/678,319.80
  6. Step 6: Final answer
    x = 560,440.90

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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.