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Finding the Fourth Proportional to 288,916.62, 398,702.77 and 161,592.21

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Solution

The fourth proportional to 288,916.62, 398,702.77 and 161,592.21 is: 222,996.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,916.62 : 398,702.77 = 161,592.21 : x
  2. Step 2: Convert to fraction form
    288,916.62/398,702.77 = 161,592.21/x
  3. Step 3: Cross multiply
    288,916.62x = 398,702.77 × 161,592.21
  4. Step 4: Simplify right side
    288,916.62x = 64,427,262,828.58
  5. Step 5: Solve for x
    x = 64,427,262,828.58/288,916.62
  6. Step 6: Final answer
    x = 222,996.04

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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.