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Finding the Fourth Proportional to 442,032.60, 663,308.10 and 161,578.20

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Solution

The fourth proportional to 442,032.60, 663,308.10 and 161,578.20 is: 242,462.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,032.60 : 663,308.10 = 161,578.20 : x
  2. Step 2: Convert to fraction form
    442,032.60/663,308.10 = 161,578.20/x
  3. Step 3: Cross multiply
    442,032.60x = 663,308.10 × 161,578.20
  4. Step 4: Simplify right side
    442,032.60x = 107,176,128,843.42
  5. Step 5: Solve for x
    x = 107,176,128,843.42/442,032.60
  6. Step 6: Final answer
    x = 242,462.05

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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.