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Finding the Fourth Proportional to 281,411.67, 388,385.10 and 160,525.20

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Solution

The fourth proportional to 281,411.67, 388,385.10 and 160,525.20 is: 221,545.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,411.67 : 388,385.10 = 160,525.20 : x
  2. Step 2: Convert to fraction form
    281,411.67/388,385.10 = 160,525.20/x
  3. Step 3: Cross multiply
    281,411.67x = 388,385.10 × 160,525.20
  4. Step 4: Simplify right side
    281,411.67x = 62,345,595,854.52
  5. Step 5: Solve for x
    x = 62,345,595,854.52/281,411.67
  6. Step 6: Final answer
    x = 221,545.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.