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Finding the Fourth Proportional to 312,700.19, 431,367.71 and 197,785.28

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Solution

The fourth proportional to 312,700.19, 431,367.71 and 197,785.28 is: 272,843.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,700.19 : 431,367.71 = 197,785.28 : x
  2. Step 2: Convert to fraction form
    312,700.19/431,367.71 = 197,785.28/x
  3. Step 3: Cross multiply
    312,700.19x = 431,367.71 × 197,785.28
  4. Step 4: Simplify right side
    312,700.19x = 85,318,180,159.54
  5. Step 5: Solve for x
    x = 85,318,180,159.54/312,700.19
  6. Step 6: Final answer
    x = 272,843.40

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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.