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Finding the Fourth Proportional to 305,711.73, 458,358.26 and 155,661.57

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Solution

The fourth proportional to 305,711.73, 458,358.26 and 155,661.57 is: 233,385.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,711.73 : 458,358.26 = 155,661.57 : x
  2. Step 2: Convert to fraction form
    305,711.73/458,358.26 = 155,661.57/x
  3. Step 3: Cross multiply
    305,711.73x = 458,358.26 × 155,661.57
  4. Step 4: Simplify right side
    305,711.73x = 71,348,765,595.76
  5. Step 5: Solve for x
    x = 71,348,765,595.76/305,711.73
  6. Step 6: Final answer
    x = 233,385.76

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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.