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Finding the Fourth Proportional to 310,785.60, 428,728.86 and 196,206.24

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Solution

The fourth proportional to 310,785.60, 428,728.86 and 196,206.24 is: 270,666.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,785.60 : 428,728.86 = 196,206.24 : x
  2. Step 2: Convert to fraction form
    310,785.60/428,728.86 = 196,206.24/x
  3. Step 3: Cross multiply
    310,785.60x = 428,728.86 × 196,206.24
  4. Step 4: Simplify right side
    310,785.60x = 84,119,277,600.09
  5. Step 5: Solve for x
    x = 84,119,277,600.09/310,785.60
  6. Step 6: Final answer
    x = 270,666.59

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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.