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Finding the Fourth Proportional to 865,863.68, 1,298,817.76 and 410,348

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Solution

The fourth proportional to 865,863.68, 1,298,817.76 and 410,348 is: 615,532.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,863.68 : 1,298,817.76 = 410,348 : x
  2. Step 2: Convert to fraction form
    865,863.68/1,298,817.76 = 410,348/x
  3. Step 3: Cross multiply
    865,863.68x = 1,298,817.76 × 410,348
  4. Step 4: Simplify right side
    865,863.68x = 532,967,270,180.48
  5. Step 5: Solve for x
    x = 532,967,270,180.48/865,863.68
  6. Step 6: Final answer
    x = 615,532.54

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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.