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Finding the Fourth Proportional to 309,508.70, 426,964.80 and 202,141.58

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Solution

The fourth proportional to 309,508.70, 426,964.80 and 202,141.58 is: 278,852.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,508.70 : 426,964.80 = 202,141.58 : x
  2. Step 2: Convert to fraction form
    309,508.70/426,964.80 = 202,141.58/x
  3. Step 3: Cross multiply
    309,508.70x = 426,964.80 × 202,141.58
  4. Step 4: Simplify right side
    309,508.70x = 86,307,339,276.38
  5. Step 5: Solve for x
    x = 86,307,339,276.38/309,508.70
  6. Step 6: Final answer
    x = 278,852.71

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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.