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Finding the Fourth Proportional to 305,117.73, 457,707.35 and 80,493.69

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Solution

The fourth proportional to 305,117.73, 457,707.35 and 80,493.69 is: 120,748.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,117.73 : 457,707.35 = 80,493.69 : x
  2. Step 2: Convert to fraction form
    305,117.73/457,707.35 = 80,493.69/x
  3. Step 3: Cross multiply
    305,117.73x = 457,707.35 × 80,493.69
  4. Step 4: Simplify right side
    305,117.73x = 36,842,553,139.15
  5. Step 5: Solve for x
    x = 36,842,553,139.15/305,117.73
  6. Step 6: Final answer
    x = 120,748.65

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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.