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Finding the Fourth Proportional to 360,101.76, 496,945.65 and 198,960.53

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Solution

The fourth proportional to 360,101.76, 496,945.65 and 198,960.53 is: 274,568.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,101.76 : 496,945.65 = 198,960.53 : x
  2. Step 2: Convert to fraction form
    360,101.76/496,945.65 = 198,960.53/x
  3. Step 3: Cross multiply
    360,101.76x = 496,945.65 × 198,960.53
  4. Step 4: Simplify right side
    360,101.76x = 98,872,567,420.47
  5. Step 5: Solve for x
    x = 98,872,567,420.47/360,101.76
  6. Step 6: Final answer
    x = 274,568.41

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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.