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Finding the Fourth Proportional to 213,006.53, 319,205.31 and 156,402.53

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Solution

The fourth proportional to 213,006.53, 319,205.31 and 156,402.53 is: 234,380.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,006.53 : 319,205.31 = 156,402.53 : x
  2. Step 2: Convert to fraction form
    213,006.53/319,205.31 = 156,402.53/x
  3. Step 3: Cross multiply
    213,006.53x = 319,205.31 × 156,402.53
  4. Step 4: Simplify right side
    213,006.53x = 49,924,517,087.92
  5. Step 5: Solve for x
    x = 49,924,517,087.92/213,006.53
  6. Step 6: Final answer
    x = 234,380.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.