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Finding the Fourth Proportional to 288,742.77, 398,454.57 and 157,915.95

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Solution

The fourth proportional to 288,742.77, 398,454.57 and 157,915.95 is: 217,918.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,742.77 : 398,454.57 = 157,915.95 : x
  2. Step 2: Convert to fraction form
    288,742.77/398,454.57 = 157,915.95/x
  3. Step 3: Cross multiply
    288,742.77x = 398,454.57 × 157,915.95
  4. Step 4: Simplify right side
    288,742.77x = 62,922,329,171.54
  5. Step 5: Solve for x
    x = 62,922,329,171.54/288,742.77
  6. Step 6: Final answer
    x = 217,918.29

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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.