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Finding the Fourth Proportional to 709,909.24, 978,009.78 and 494,658.76

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Solution

The fourth proportional to 709,909.24, 978,009.78 and 494,658.76 is: 681,468.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,909.24 : 978,009.78 = 494,658.76 : x
  2. Step 2: Convert to fraction form
    709,909.24/978,009.78 = 494,658.76/x
  3. Step 3: Cross multiply
    709,909.24x = 978,009.78 × 494,658.76
  4. Step 4: Simplify right side
    709,909.24x = 483,781,105,042.67
  5. Step 5: Solve for x
    x = 483,781,105,042.67/709,909.24
  6. Step 6: Final answer
    x = 681,468.95

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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.