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Finding the Fourth Proportional to 312,785.36, 431,843.40 and 205,545.68

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Solution

The fourth proportional to 312,785.36, 431,843.40 and 205,545.68 is: 283,784.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,785.36 : 431,843.40 = 205,545.68 : x
  2. Step 2: Convert to fraction form
    312,785.36/431,843.40 = 205,545.68/x
  3. Step 3: Cross multiply
    312,785.36x = 431,843.40 × 205,545.68
  4. Step 4: Simplify right side
    312,785.36x = 88,763,545,306.51
  5. Step 5: Solve for x
    x = 88,763,545,306.51/312,785.36
  6. Step 6: Final answer
    x = 283,784.21

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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.