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Finding the Fourth Proportional to 498,385.92, 747,960.24 and 258,696.19

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Solution

The fourth proportional to 498,385.92, 747,960.24 and 258,696.19 is: 388,242.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,385.92 : 747,960.24 = 258,696.19 : x
  2. Step 2: Convert to fraction form
    498,385.92/747,960.24 = 258,696.19/x
  3. Step 3: Cross multiply
    498,385.92x = 747,960.24 × 258,696.19
  4. Step 4: Simplify right side
    498,385.92x = 193,494,466,264.55
  5. Step 5: Solve for x
    x = 193,494,466,264.55/498,385.92
  6. Step 6: Final answer
    x = 388,242.24

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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.