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Finding the Fourth Proportional to 218,305.76, 301,100.74 and 150,344.32

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Solution

The fourth proportional to 218,305.76, 301,100.74 and 150,344.32 is: 207,364.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,305.76 : 301,100.74 = 150,344.32 : x
  2. Step 2: Convert to fraction form
    218,305.76/301,100.74 = 150,344.32/x
  3. Step 3: Cross multiply
    218,305.76x = 301,100.74 × 150,344.32
  4. Step 4: Simplify right side
    218,305.76x = 45,268,786,006.80
  5. Step 5: Solve for x
    x = 45,268,786,006.80/218,305.76
  6. Step 6: Final answer
    x = 207,364.14

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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.