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Finding the Fourth Proportional to 218,622.70, 328,079.85 and 100,233.10

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Solution

The fourth proportional to 218,622.70, 328,079.85 and 100,233.10 is: 150,416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,622.70 : 328,079.85 = 100,233.10 : x
  2. Step 2: Convert to fraction form
    218,622.70/328,079.85 = 100,233.10/x
  3. Step 3: Cross multiply
    218,622.70x = 328,079.85 × 100,233.10
  4. Step 4: Simplify right side
    218,622.70x = 32,884,460,413.04
  5. Step 5: Solve for x
    x = 32,884,460,413.04/218,622.70
  6. Step 6: Final answer
    x = 150,416.50

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1.5x scale

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.