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Finding the Fourth Proportional to 409,958.73, 615,128.04 and 157,154.76

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Solution

The fourth proportional to 409,958.73, 615,128.04 and 157,154.76 is: 235,804.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,958.73 : 615,128.04 = 157,154.76 : x
  2. Step 2: Convert to fraction form
    409,958.73/615,128.04 = 157,154.76/x
  3. Step 3: Cross multiply
    409,958.73x = 615,128.04 × 157,154.76
  4. Step 4: Simplify right side
    409,958.73x = 96,670,299,495.47
  5. Step 5: Solve for x
    x = 96,670,299,495.47/409,958.73
  6. Step 6: Final answer
    x = 235,804.95

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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.