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Finding the Fourth Proportional to 276,221.59, 414,341.29 and 76,543.90

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Solution

The fourth proportional to 276,221.59, 414,341.29 and 76,543.90 is: 114,818.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,221.59 : 414,341.29 = 76,543.90 : x
  2. Step 2: Convert to fraction form
    276,221.59/414,341.29 = 76,543.90/x
  3. Step 3: Cross multiply
    276,221.59x = 414,341.29 × 76,543.90
  4. Step 4: Simplify right side
    276,221.59x = 31,715,298,267.63
  5. Step 5: Solve for x
    x = 31,715,298,267.63/276,221.59
  6. Step 6: Final answer
    x = 114,818.32

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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.