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Finding the Fourth Proportional to 417,824.80, 626,308.20 and 165,002.80

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Solution

The fourth proportional to 417,824.80, 626,308.20 and 165,002.80 is: 247,334.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,824.80 : 626,308.20 = 165,002.80 : x
  2. Step 2: Convert to fraction form
    417,824.80/626,308.20 = 165,002.80/x
  3. Step 3: Cross multiply
    417,824.80x = 626,308.20 × 165,002.80
  4. Step 4: Simplify right side
    417,824.80x = 103,342,606,662.96
  5. Step 5: Solve for x
    x = 103,342,606,662.96/417,824.80
  6. Step 6: Final answer
    x = 247,334.78

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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.