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Finding the Fourth Proportional to 375,079, 517,589.14 and 205,280.28

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Solution

The fourth proportional to 375,079, 517,589.14 and 205,280.28 is: 283,275.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,079 : 517,589.14 = 205,280.28 : x
  2. Step 2: Convert to fraction form
    375,079/517,589.14 = 205,280.28/x
  3. Step 3: Cross multiply
    375,079x = 517,589.14 × 205,280.28
  4. Step 4: Simplify right side
    375,079x = 106,250,843,584.16
  5. Step 5: Solve for x
    x = 106,250,843,584.16/375,079
  6. Step 6: Final answer
    x = 283,275.91

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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.