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Finding the Fourth Proportional to 274,655.84, 378,829.16 and 252,068

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Solution

The fourth proportional to 274,655.84, 378,829.16 and 252,068 is: 347,674.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,655.84 : 378,829.16 = 252,068 : x
  2. Step 2: Convert to fraction form
    274,655.84/378,829.16 = 252,068/x
  3. Step 3: Cross multiply
    274,655.84x = 378,829.16 × 252,068
  4. Step 4: Simplify right side
    274,655.84x = 95,490,708,702.88
  5. Step 5: Solve for x
    x = 95,490,708,702.88/274,655.84
  6. Step 6: Final answer
    x = 347,674.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.