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Finding the Fourth Proportional to 319,104.92, 440,358.12 and 175,861.28

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Solution

The fourth proportional to 319,104.92, 440,358.12 and 175,861.28 is: 242,684.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,104.92 : 440,358.12 = 175,861.28 : x
  2. Step 2: Convert to fraction form
    319,104.92/440,358.12 = 175,861.28/x
  3. Step 3: Cross multiply
    319,104.92x = 440,358.12 × 175,861.28
  4. Step 4: Simplify right side
    319,104.92x = 77,441,942,641.59
  5. Step 5: Solve for x
    x = 77,441,942,641.59/319,104.92
  6. Step 6: Final answer
    x = 242,684.89

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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.