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Finding the Fourth Proportional to 254,652.66, 381,454.11 and 149,151.78

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Solution

The fourth proportional to 254,652.66, 381,454.11 and 149,151.78 is: 223,420.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,652.66 : 381,454.11 = 149,151.78 : x
  2. Step 2: Convert to fraction form
    254,652.66/381,454.11 = 149,151.78/x
  3. Step 3: Cross multiply
    254,652.66x = 381,454.11 × 149,151.78
  4. Step 4: Simplify right side
    254,652.66x = 56,894,559,494.82
  5. Step 5: Solve for x
    x = 56,894,559,494.82/254,652.66
  6. Step 6: Final answer
    x = 223,420.24

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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.