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Finding the Fourth Proportional to 442,086.64, 663,259.32 and 142,561.18

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Solution

The fourth proportional to 442,086.64, 663,259.32 and 142,561.18 is: 213,883.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,086.64 : 663,259.32 = 142,561.18 : x
  2. Step 2: Convert to fraction form
    442,086.64/663,259.32 = 142,561.18/x
  3. Step 3: Cross multiply
    442,086.64x = 663,259.32 × 142,561.18
  4. Step 4: Simplify right side
    442,086.64x = 94,555,031,305.20
  5. Step 5: Solve for x
    x = 94,555,031,305.20/442,086.64
  6. Step 6: Final answer
    x = 213,883.49

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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.