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Finding the Fourth Proportional to 442,909.76, 663,969.60 and 162,361.52

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Solution

The fourth proportional to 442,909.76, 663,969.60 and 162,361.52 is: 243,397.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,909.76 : 663,969.60 = 162,361.52 : x
  2. Step 2: Convert to fraction form
    442,909.76/663,969.60 = 162,361.52/x
  3. Step 3: Cross multiply
    442,909.76x = 663,969.60 × 162,361.52
  4. Step 4: Simplify right side
    442,909.76x = 107,803,113,489.79
  5. Step 5: Solve for x
    x = 107,803,113,489.79/442,909.76
  6. Step 6: Final answer
    x = 243,397.47

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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.