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Finding the Fourth Proportional to 490,862.46, 736,294.70 and 135,877.53

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Solution

The fourth proportional to 490,862.46, 736,294.70 and 135,877.53 is: 203,816.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,862.46 : 736,294.70 = 135,877.53 : x
  2. Step 2: Convert to fraction form
    490,862.46/736,294.70 = 135,877.53/x
  3. Step 3: Cross multiply
    490,862.46x = 736,294.70 × 135,877.53
  4. Step 4: Simplify right side
    490,862.46x = 100,045,905,188.09
  5. Step 5: Solve for x
    x = 100,045,905,188.09/490,862.46
  6. Step 6: Final answer
    x = 203,816.57

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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.