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Finding the Fourth Proportional to 281,491.47, 388,361.72 and 160,545.78

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Solution

The fourth proportional to 281,491.47, 388,361.72 and 160,545.78 is: 221,498.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,491.47 : 388,361.72 = 160,545.78 : x
  2. Step 2: Convert to fraction form
    281,491.47/388,361.72 = 160,545.78/x
  3. Step 3: Cross multiply
    281,491.47x = 388,361.72 × 160,545.78
  4. Step 4: Simplify right side
    281,491.47x = 62,349,835,660.91
  5. Step 5: Solve for x
    x = 62,349,835,660.91/281,491.47
  6. Step 6: Final answer
    x = 221,498.14

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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.