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Finding the Fourth Proportional to 653,722.28, 902,159.87 and 363,339.64

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Solution

The fourth proportional to 653,722.28, 902,159.87 and 363,339.64 is: 501,421.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,722.28 : 902,159.87 = 363,339.64 : x
  2. Step 2: Convert to fraction form
    653,722.28/902,159.87 = 363,339.64/x
  3. Step 3: Cross multiply
    653,722.28x = 902,159.87 × 363,339.64
  4. Step 4: Simplify right side
    653,722.28x = 327,790,442,388.25
  5. Step 5: Solve for x
    x = 327,790,442,388.25/653,722.28
  6. Step 6: Final answer
    x = 501,421.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.