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Finding the Fourth Proportional to 289,377.54, 399,331.71 and 160,310.70

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Solution

The fourth proportional to 289,377.54, 399,331.71 and 160,310.70 is: 221,223.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,377.54 : 399,331.71 = 160,310.70 : x
  2. Step 2: Convert to fraction form
    289,377.54/399,331.71 = 160,310.70/x
  3. Step 3: Cross multiply
    289,377.54x = 399,331.71 × 160,310.70
  4. Step 4: Simplify right side
    289,377.54x = 64,017,145,962.30
  5. Step 5: Solve for x
    x = 64,017,145,962.30/289,377.54
  6. Step 6: Final answer
    x = 221,223.62

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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.