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Finding the Fourth Proportional to 410,459.39, 615,689.06 and 208,023.97

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Solution

The fourth proportional to 410,459.39, 615,689.06 and 208,023.97 is: 312,035.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,459.39 : 615,689.06 = 208,023.97 : x
  2. Step 2: Convert to fraction form
    410,459.39/615,689.06 = 208,023.97/x
  3. Step 3: Cross multiply
    410,459.39x = 615,689.06 × 208,023.97
  4. Step 4: Simplify right side
    410,459.39x = 128,078,078,428.20
  5. Step 5: Solve for x
    x = 128,078,078,428.20/410,459.39
  6. Step 6: Final answer
    x = 312,035.93

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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.