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Finding the Fourth Proportional to 410,115.40, 615,829.20 and 310,388.20

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Solution

The fourth proportional to 410,115.40, 615,829.20 and 310,388.20 is: 466,078.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,115.40 : 615,829.20 = 310,388.20 : x
  2. Step 2: Convert to fraction form
    410,115.40/615,829.20 = 310,388.20/x
  3. Step 3: Cross multiply
    410,115.40x = 615,829.20 × 310,388.20
  4. Step 4: Simplify right side
    410,115.40x = 191,146,116,895.44
  5. Step 5: Solve for x
    x = 191,146,116,895.44/410,115.40
  6. Step 6: Final answer
    x = 466,078.86

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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.