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Finding the Fourth Proportional to 288,916.20, 398,702.06 and 161,591.70

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Solution

The fourth proportional to 288,916.20, 398,702.06 and 161,591.70 is: 222,995.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,916.20 : 398,702.06 = 161,591.70 : x
  2. Step 2: Convert to fraction form
    288,916.20/398,702.06 = 161,591.70/x
  3. Step 3: Cross multiply
    288,916.20x = 398,702.06 × 161,591.70
  4. Step 4: Simplify right side
    288,916.20x = 64,426,943,668.90
  5. Step 5: Solve for x
    x = 64,426,943,668.90/288,916.20
  6. Step 6: Final answer
    x = 222,995.26

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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.