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Finding the Fourth Proportional to 454,073.80, 681,110.70 and 286,112.20

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Solution

The fourth proportional to 454,073.80, 681,110.70 and 286,112.20 is: 429,168.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,073.80 : 681,110.70 = 286,112.20 : x
  2. Step 2: Convert to fraction form
    454,073.80/681,110.70 = 286,112.20/x
  3. Step 3: Cross multiply
    454,073.80x = 681,110.70 × 286,112.20
  4. Step 4: Simplify right side
    454,073.80x = 194,874,080,820.54
  5. Step 5: Solve for x
    x = 194,874,080,820.54/454,073.80
  6. Step 6: Final answer
    x = 429,168.30

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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.