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Finding the Fourth Proportional to 442,683.58, 663,630.90 and 162,135.22

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Solution

The fourth proportional to 442,683.58, 663,630.90 and 162,135.22 is: 243,058.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,683.58 : 663,630.90 = 162,135.22 : x
  2. Step 2: Convert to fraction form
    442,683.58/663,630.90 = 162,135.22/x
  3. Step 3: Cross multiply
    442,683.58x = 663,630.90 × 162,135.22
  4. Step 4: Simplify right side
    442,683.58x = 107,597,941,970.30
  5. Step 5: Solve for x
    x = 107,597,941,970.30/442,683.58
  6. Step 6: Final answer
    x = 243,058.35

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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.