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Finding the Fourth Proportional to 441,653.84, 662,387.87 and 142,161.20

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Solution

The fourth proportional to 441,653.84, 662,387.87 and 142,161.20 is: 213,211.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,653.84 : 662,387.87 = 142,161.20 : x
  2. Step 2: Convert to fraction form
    441,653.84/662,387.87 = 142,161.20/x
  3. Step 3: Cross multiply
    441,653.84x = 662,387.87 × 142,161.20
  4. Step 4: Simplify right side
    441,653.84x = 94,165,851,152.70
  5. Step 5: Solve for x
    x = 94,165,851,152.70/441,653.84
  6. Step 6: Final answer
    x = 213,211.90

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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.