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Finding the Fourth Proportional to 491,451.51, 677,942.96 and 338,223.68

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Solution

The fourth proportional to 491,451.51, 677,942.96 and 338,223.68 is: 466,569.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,451.51 : 677,942.96 = 338,223.68 : x
  2. Step 2: Convert to fraction form
    491,451.51/677,942.96 = 338,223.68/x
  3. Step 3: Cross multiply
    491,451.51x = 677,942.96 × 338,223.68
  4. Step 4: Simplify right side
    491,451.51x = 229,296,357,680.46
  5. Step 5: Solve for x
    x = 229,296,357,680.46/491,451.51
  6. Step 6: Final answer
    x = 466,569.65

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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.