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Finding the Fourth Proportional to 827,449, 1,238,861.08 and 447,006.76

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Solution

The fourth proportional to 827,449, 1,238,861.08 and 447,006.76 is: 669,260.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,449 : 1,238,861.08 = 447,006.76 : x
  2. Step 2: Convert to fraction form
    827,449/1,238,861.08 = 447,006.76/x
  3. Step 3: Cross multiply
    827,449x = 1,238,861.08 × 447,006.76
  4. Step 4: Simplify right side
    827,449x = 553,779,277,460.90
  5. Step 5: Solve for x
    x = 553,779,277,460.90/827,449
  6. Step 6: Final answer
    x = 669,260.92

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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.