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Finding the Fourth Proportional to 804,074, 1,206,663.96 and 278,762

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Solution

The fourth proportional to 804,074, 1,206,663.96 and 278,762 is: 418,334.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,074 : 1,206,663.96 = 278,762 : x
  2. Step 2: Convert to fraction form
    804,074/1,206,663.96 = 278,762/x
  3. Step 3: Cross multiply
    804,074x = 1,206,663.96 × 278,762
  4. Step 4: Simplify right side
    804,074x = 336,372,058,817.52
  5. Step 5: Solve for x
    x = 336,372,058,817.52/804,074
  6. Step 6: Final answer
    x = 418,334.70

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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.