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Finding the Fourth Proportional to 415,909.45, 623,864.02 and 163,308.79

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Solution

The fourth proportional to 415,909.45, 623,864.02 and 163,308.79 is: 244,963.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,909.45 : 623,864.02 = 163,308.79 : x
  2. Step 2: Convert to fraction form
    415,909.45/623,864.02 = 163,308.79/x
  3. Step 3: Cross multiply
    415,909.45x = 623,864.02 × 163,308.79
  4. Step 4: Simplify right side
    415,909.45x = 101,882,478,230.74
  5. Step 5: Solve for x
    x = 101,882,478,230.74/415,909.45
  6. Step 6: Final answer
    x = 244,963.12

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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.