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Finding the Fourth Proportional to 509,164.68, 763,454.36 and 209,851.88

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Solution

The fourth proportional to 509,164.68, 763,454.36 and 209,851.88 is: 314,657.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,164.68 : 763,454.36 = 209,851.88 : x
  2. Step 2: Convert to fraction form
    509,164.68/763,454.36 = 209,851.88/x
  3. Step 3: Cross multiply
    509,164.68x = 763,454.36 × 209,851.88
  4. Step 4: Simplify right side
    509,164.68x = 160,212,332,740.20
  5. Step 5: Solve for x
    x = 160,212,332,740.20/509,164.68
  6. Step 6: Final answer
    x = 314,657.20

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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.