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Finding the Fourth Proportional to 454,142.30, 681,213.45 and 444,300.80

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Solution

The fourth proportional to 454,142.30, 681,213.45 and 444,300.80 is: 666,451.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,142.30 : 681,213.45 = 444,300.80 : x
  2. Step 2: Convert to fraction form
    454,142.30/681,213.45 = 444,300.80/x
  3. Step 3: Cross multiply
    454,142.30x = 681,213.45 × 444,300.80
  4. Step 4: Simplify right side
    454,142.30x = 302,663,680,805.76
  5. Step 5: Solve for x
    x = 302,663,680,805.76/454,142.30
  6. Step 6: Final answer
    x = 666,451.20

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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.