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Finding the Fourth Proportional to 252,436.84, 378,676.10 and 181,688.76

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Solution

The fourth proportional to 252,436.84, 378,676.10 and 181,688.76 is: 272,548.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,436.84 : 378,676.10 = 181,688.76 : x
  2. Step 2: Convert to fraction form
    252,436.84/378,676.10 = 181,688.76/x
  3. Step 3: Cross multiply
    252,436.84x = 378,676.10 × 181,688.76
  4. Step 4: Simplify right side
    252,436.84x = 68,801,191,050.64
  5. Step 5: Solve for x
    x = 68,801,191,050.64/252,436.84
  6. Step 6: Final answer
    x = 272,548.14

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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.