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Finding the Fourth Proportional to 269,200.70, 403,315.05 and 156,788.90

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Solution

The fourth proportional to 269,200.70, 403,315.05 and 156,788.90 is: 234,900.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,200.70 : 403,315.05 = 156,788.90 : x
  2. Step 2: Convert to fraction form
    269,200.70/403,315.05 = 156,788.90/x
  3. Step 3: Cross multiply
    269,200.70x = 403,315.05 × 156,788.90
  4. Step 4: Simplify right side
    269,200.70x = 63,235,323,042.95
  5. Step 5: Solve for x
    x = 63,235,323,042.95/269,200.70
  6. Step 6: Final answer
    x = 234,900.29

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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.