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Finding the Fourth Proportional to 462,087.40, 693,131.10 and 407,849.80

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Solution

The fourth proportional to 462,087.40, 693,131.10 and 407,849.80 is: 611,774.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,087.40 : 693,131.10 = 407,849.80 : x
  2. Step 2: Convert to fraction form
    462,087.40/693,131.10 = 407,849.80/x
  3. Step 3: Cross multiply
    462,087.40x = 693,131.10 × 407,849.80
  4. Step 4: Simplify right side
    462,087.40x = 282,693,380,508.78
  5. Step 5: Solve for x
    x = 282,693,380,508.78/462,087.40
  6. Step 6: Final answer
    x = 611,774.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.