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Finding the Fourth Proportional to 501,711.20, 752,566.32 and 217,168.64

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Solution

The fourth proportional to 501,711.20, 752,566.32 and 217,168.64 is: 325,752.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,711.20 : 752,566.32 = 217,168.64 : x
  2. Step 2: Convert to fraction form
    501,711.20/752,566.32 = 217,168.64/x
  3. Step 3: Cross multiply
    501,711.20x = 752,566.32 × 217,168.64
  4. Step 4: Simplify right side
    501,711.20x = 163,433,804,224.21
  5. Step 5: Solve for x
    x = 163,433,804,224.21/501,711.20
  6. Step 6: Final answer
    x = 325,752.75

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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.