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Finding the Fourth Proportional to 281,377.14, 388,264.25 and 160,511.20

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Solution

The fourth proportional to 281,377.14, 388,264.25 and 160,511.20 is: 221,484.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,377.14 : 388,264.25 = 160,511.20 : x
  2. Step 2: Convert to fraction form
    281,377.14/388,264.25 = 160,511.20/x
  3. Step 3: Cross multiply
    281,377.14x = 388,264.25 × 160,511.20
  4. Step 4: Simplify right side
    281,377.14x = 62,320,760,115.22
  5. Step 5: Solve for x
    x = 62,320,760,115.22/281,377.14
  6. Step 6: Final answer
    x = 221,484.80

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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.