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Finding the Fourth Proportional to 299,131.86, 448,420.77 and 156,947.70

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Solution

The fourth proportional to 299,131.86, 448,420.77 and 156,947.70 is: 235,276.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,131.86 : 448,420.77 = 156,947.70 : x
  2. Step 2: Convert to fraction form
    299,131.86/448,420.77 = 156,947.70/x
  3. Step 3: Cross multiply
    299,131.86x = 448,420.77 × 156,947.70
  4. Step 4: Simplify right side
    299,131.86x = 70,378,608,483.73
  5. Step 5: Solve for x
    x = 70,378,608,483.73/299,131.86
  6. Step 6: Final answer
    x = 235,276.20

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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.