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Finding the Fourth Proportional to 498,506.70, 747,806.55 and 386,312.82

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Solution

The fourth proportional to 498,506.70, 747,806.55 and 386,312.82 is: 579,505.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,506.70 : 747,806.55 = 386,312.82 : x
  2. Step 2: Convert to fraction form
    498,506.70/747,806.55 = 386,312.82/x
  3. Step 3: Cross multiply
    498,506.70x = 747,806.55 × 386,312.82
  4. Step 4: Simplify right side
    498,506.70x = 288,887,257,144.97
  5. Step 5: Solve for x
    x = 288,887,257,144.97/498,506.70
  6. Step 6: Final answer
    x = 579,505.26

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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.