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Finding the Fourth Proportional to 306,023.20, 459,034.80 and 128,471.20

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Solution

The fourth proportional to 306,023.20, 459,034.80 and 128,471.20 is: 192,706.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,023.20 : 459,034.80 = 128,471.20 : x
  2. Step 2: Convert to fraction form
    306,023.20/459,034.80 = 128,471.20/x
  3. Step 3: Cross multiply
    306,023.20x = 459,034.80 × 128,471.20
  4. Step 4: Simplify right side
    306,023.20x = 58,972,751,597.76
  5. Step 5: Solve for x
    x = 58,972,751,597.76/306,023.20
  6. Step 6: Final answer
    x = 192,706.80

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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.