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Finding the Fourth Proportional to 477,181.95, 715,754.23 and 161,638.85

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Solution

The fourth proportional to 477,181.95, 715,754.23 and 161,638.85 is: 242,451.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,181.95 : 715,754.23 = 161,638.85 : x
  2. Step 2: Convert to fraction form
    477,181.95/715,754.23 = 161,638.85/x
  3. Step 3: Cross multiply
    477,181.95x = 715,754.23 × 161,638.85
  4. Step 4: Simplify right side
    477,181.95x = 115,693,690,619.84
  5. Step 5: Solve for x
    x = 115,693,690,619.84/477,181.95
  6. Step 6: Final answer
    x = 242,451.94

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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.