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Finding the Fourth Proportional to 411,758.48, 616,435.80 and 253,512.08

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Solution

The fourth proportional to 411,758.48, 616,435.80 and 253,512.08 is: 379,528.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,758.48 : 616,435.80 = 253,512.08 : x
  2. Step 2: Convert to fraction form
    411,758.48/616,435.80 = 253,512.08/x
  3. Step 3: Cross multiply
    411,758.48x = 616,435.80 × 253,512.08
  4. Step 4: Simplify right side
    411,758.48x = 156,273,921,844.46
  5. Step 5: Solve for x
    x = 156,273,921,844.46/411,758.48
  6. Step 6: Final answer
    x = 379,528.12

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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.