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Finding the Fourth Proportional to 508,960.80, 763,753.20 and 209,584.80

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Solution

The fourth proportional to 508,960.80, 763,753.20 and 209,584.80 is: 314,505.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,960.80 : 763,753.20 = 209,584.80 : x
  2. Step 2: Convert to fraction form
    508,960.80/763,753.20 = 209,584.80/x
  3. Step 3: Cross multiply
    508,960.80x = 763,753.20 × 209,584.80
  4. Step 4: Simplify right side
    508,960.80x = 160,071,061,671.36
  5. Step 5: Solve for x
    x = 160,071,061,671.36/508,960.80
  6. Step 6: Final answer
    x = 314,505.68

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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.