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Finding the Fourth Proportional to 410,085.60, 615,128.40 and 284,114.40

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Solution

The fourth proportional to 410,085.60, 615,128.40 and 284,114.40 is: 426,171.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,085.60 : 615,128.40 = 284,114.40 : x
  2. Step 2: Convert to fraction form
    410,085.60/615,128.40 = 284,114.40/x
  3. Step 3: Cross multiply
    410,085.60x = 615,128.40 × 284,114.40
  4. Step 4: Simplify right side
    410,085.60x = 174,766,836,288.96
  5. Step 5: Solve for x
    x = 174,766,836,288.96/410,085.60
  6. Step 6: Final answer
    x = 426,171.60

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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.