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Finding the Fourth Proportional to 410,942.79, 615,417.71 and 284,227.40

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Solution

The fourth proportional to 410,942.79, 615,417.71 and 284,227.40 is: 425,651.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,942.79 : 615,417.71 = 284,227.40 : x
  2. Step 2: Convert to fraction form
    410,942.79/615,417.71 = 284,227.40/x
  3. Step 3: Cross multiply
    410,942.79x = 615,417.71 × 284,227.40
  4. Step 4: Simplify right side
    410,942.79x = 174,918,571,129.03
  5. Step 5: Solve for x
    x = 174,918,571,129.03/410,942.79
  6. Step 6: Final answer
    x = 425,651.88

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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.