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Finding the Fourth Proportional to 653,721.28, 902,158.49 and 363,338.64

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Solution

The fourth proportional to 653,721.28, 902,158.49 and 363,338.64 is: 501,420.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,721.28 : 902,158.49 = 363,338.64 : x
  2. Step 2: Convert to fraction form
    653,721.28/902,158.49 = 363,338.64/x
  3. Step 3: Cross multiply
    653,721.28x = 902,158.49 × 363,338.64
  4. Step 4: Simplify right side
    653,721.28x = 327,789,038,821.05
  5. Step 5: Solve for x
    x = 327,789,038,821.05/653,721.28
  6. Step 6: Final answer
    x = 501,420.18

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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.