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Finding the Fourth Proportional to 320,438.50, 442,197.84 and 177,199.72

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Solution

The fourth proportional to 320,438.50, 442,197.84 and 177,199.72 is: 244,531.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,438.50 : 442,197.84 = 177,199.72 : x
  2. Step 2: Convert to fraction form
    320,438.50/442,197.84 = 177,199.72/x
  3. Step 3: Cross multiply
    320,438.50x = 442,197.84 × 177,199.72
  4. Step 4: Simplify right side
    320,438.50x = 78,357,333,432.60
  5. Step 5: Solve for x
    x = 78,357,333,432.60/320,438.50
  6. Step 6: Final answer
    x = 244,531.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.