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Finding the Fourth Proportional to 410,358.20, 615,537.30 and 408,025.40

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Solution

The fourth proportional to 410,358.20, 615,537.30 and 408,025.40 is: 612,038.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,358.20 : 615,537.30 = 408,025.40 : x
  2. Step 2: Convert to fraction form
    410,358.20/615,537.30 = 408,025.40/x
  3. Step 3: Cross multiply
    410,358.20x = 615,537.30 × 408,025.40
  4. Step 4: Simplify right side
    410,358.20x = 251,154,853,047.42
  5. Step 5: Solve for x
    x = 251,154,853,047.42/410,358.20
  6. Step 6: Final answer
    x = 612,038.10

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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.