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Finding the Fourth Proportional to 386,972.80, 580,718.40 and 176,502.40

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Solution

The fourth proportional to 386,972.80, 580,718.40 and 176,502.40 is: 264,871.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,972.80 : 580,718.40 = 176,502.40 : x
  2. Step 2: Convert to fraction form
    386,972.80/580,718.40 = 176,502.40/x
  3. Step 3: Cross multiply
    386,972.80x = 580,718.40 × 176,502.40
  4. Step 4: Simplify right side
    386,972.80x = 102,498,191,324.16
  5. Step 5: Solve for x
    x = 102,498,191,324.16/386,972.80
  6. Step 6: Final answer
    x = 264,871.82

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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.