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Finding the Fourth Proportional to 305,119.73, 457,710.35 and 80,495.69

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Solution

The fourth proportional to 305,119.73, 457,710.35 and 80,495.69 is: 120,751.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,119.73 : 457,710.35 = 80,495.69 : x
  2. Step 2: Convert to fraction form
    305,119.73/457,710.35 = 80,495.69/x
  3. Step 3: Cross multiply
    305,119.73x = 457,710.35 × 80,495.69
  4. Step 4: Simplify right side
    305,119.73x = 36,843,710,443.39
  5. Step 5: Solve for x
    x = 36,843,710,443.39/305,119.73
  6. Step 6: Final answer
    x = 120,751.65

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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.