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Finding the Fourth Proportional to 880,290, 1,214,814.92 and 477,882

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Solution

The fourth proportional to 880,290, 1,214,814.92 and 477,882 is: 659,485.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    880,290 : 1,214,814.92 = 477,882 : x
  2. Step 2: Convert to fraction form
    880,290/1,214,814.92 = 477,882/x
  3. Step 3: Cross multiply
    880,290x = 1,214,814.92 × 477,882
  4. Step 4: Simplify right side
    880,290x = 580,538,183,599.44
  5. Step 5: Solve for x
    x = 580,538,183,599.44/880,290
  6. Step 6: Final answer
    x = 659,485.15

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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.