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Finding the Fourth Proportional to 442,293.49, 663,440.10 and 142,818.13

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Solution

The fourth proportional to 442,293.49, 663,440.10 and 142,818.13 is: 214,227.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,293.49 : 663,440.10 = 142,818.13 : x
  2. Step 2: Convert to fraction form
    442,293.49/663,440.10 = 142,818.13/x
  3. Step 3: Cross multiply
    442,293.49x = 663,440.10 × 142,818.13
  4. Step 4: Simplify right side
    442,293.49x = 94,751,274,449.01
  5. Step 5: Solve for x
    x = 94,751,274,449.01/442,293.49
  6. Step 6: Final answer
    x = 214,227.15

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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.