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Finding the Fourth Proportional to 410,138.40, 615,207.60 and 403,226.40

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Solution

The fourth proportional to 410,138.40, 615,207.60 and 403,226.40 is: 604,839.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,138.40 : 615,207.60 = 403,226.40 : x
  2. Step 2: Convert to fraction form
    410,138.40/615,207.60 = 403,226.40/x
  3. Step 3: Cross multiply
    410,138.40x = 615,207.60 × 403,226.40
  4. Step 4: Simplify right side
    410,138.40x = 248,067,945,800.64
  5. Step 5: Solve for x
    x = 248,067,945,800.64/410,138.40
  6. Step 6: Final answer
    x = 604,839.60

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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.