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Finding the Fourth Proportional to 409,967.82, 615,141.54 and 157,163.76

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Solution

The fourth proportional to 409,967.82, 615,141.54 and 157,163.76 is: 235,818.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,967.82 : 615,141.54 = 157,163.76 : x
  2. Step 2: Convert to fraction form
    409,967.82/615,141.54 = 157,163.76/x
  3. Step 3: Cross multiply
    409,967.82x = 615,141.54 × 157,163.76
  4. Step 4: Simplify right side
    409,967.82x = 96,677,957,358.59
  5. Step 5: Solve for x
    x = 96,677,957,358.59/409,967.82
  6. Step 6: Final answer
    x = 235,818.40

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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.