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Finding the Fourth Proportional to 288,693.75, 398,380.02 and 159,624.45

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Solution

The fourth proportional to 288,693.75, 398,380.02 and 159,624.45 is: 220,272.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,693.75 : 398,380.02 = 159,624.45 : x
  2. Step 2: Convert to fraction form
    288,693.75/398,380.02 = 159,624.45/x
  3. Step 3: Cross multiply
    288,693.75x = 398,380.02 × 159,624.45
  4. Step 4: Simplify right side
    288,693.75x = 63,591,191,583.49
  5. Step 5: Solve for x
    x = 63,591,191,583.49/288,693.75
  6. Step 6: Final answer
    x = 220,272.15

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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.