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Finding the Fourth Proportional to 649,757.30, 896,638.82 and 359,349.75

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Solution

The fourth proportional to 649,757.30, 896,638.82 and 359,349.75 is: 495,888.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,757.30 : 896,638.82 = 359,349.75 : x
  2. Step 2: Convert to fraction form
    649,757.30/896,638.82 = 359,349.75/x
  3. Step 3: Cross multiply
    649,757.30x = 896,638.82 × 359,349.75
  4. Step 4: Simplify right side
    649,757.30x = 322,206,934,010.55
  5. Step 5: Solve for x
    x = 322,206,934,010.55/649,757.30
  6. Step 6: Final answer
    x = 495,888.14

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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.