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Finding the Fourth Proportional to 508,978.80, 763,780.20 and 209,602.80

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Solution

The fourth proportional to 508,978.80, 763,780.20 and 209,602.80 is: 314,532.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,978.80 : 763,780.20 = 209,602.80 : x
  2. Step 2: Convert to fraction form
    508,978.80/763,780.20 = 209,602.80/x
  3. Step 3: Cross multiply
    508,978.80x = 763,780.20 × 209,602.80
  4. Step 4: Simplify right side
    508,978.80x = 160,090,468,504.56
  5. Step 5: Solve for x
    x = 160,090,468,504.56/508,978.80
  6. Step 6: Final answer
    x = 314,532.68

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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.