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Finding the Fourth Proportional to 299,133.86, 448,423.77 and 156,949.70

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Solution

The fourth proportional to 299,133.86, 448,423.77 and 156,949.70 is: 235,279.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,133.86 : 448,423.77 = 156,949.70 : x
  2. Step 2: Convert to fraction form
    299,133.86/448,423.77 = 156,949.70/x
  3. Step 3: Cross multiply
    299,133.86x = 448,423.77 × 156,949.70
  4. Step 4: Simplify right side
    299,133.86x = 70,379,976,174.37
  5. Step 5: Solve for x
    x = 70,379,976,174.37/299,133.86
  6. Step 6: Final answer
    x = 235,279.20

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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.