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Finding the Fourth Proportional to 410,542.20, 615,813.30 and 252,257.40

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Solution

The fourth proportional to 410,542.20, 615,813.30 and 252,257.40 is: 378,386.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,542.20 : 615,813.30 = 252,257.40 : x
  2. Step 2: Convert to fraction form
    410,542.20/615,813.30 = 252,257.40/x
  3. Step 3: Cross multiply
    410,542.20x = 615,813.30 × 252,257.40
  4. Step 4: Simplify right side
    410,542.20x = 155,343,461,943.42
  5. Step 5: Solve for x
    x = 155,343,461,943.42/410,542.20
  6. Step 6: Final answer
    x = 378,386.10

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1.5x scale

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.