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Finding the Fourth Proportional to 305,143.91, 457,663.61 and 80,506.65

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Solution

The fourth proportional to 305,143.91, 457,663.61 and 80,506.65 is: 120,746.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,143.91 : 457,663.61 = 80,506.65 : x
  2. Step 2: Convert to fraction form
    305,143.91/457,663.61 = 80,506.65/x
  3. Step 3: Cross multiply
    305,143.91x = 457,663.61 × 80,506.65
  4. Step 4: Simplify right side
    305,143.91x = 36,844,963,665.47
  5. Step 5: Solve for x
    x = 36,844,963,665.47/305,143.91
  6. Step 6: Final answer
    x = 120,746.19

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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.