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Finding the Fourth Proportional to 312,426.60, 431,042.90 and 204,986.60

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Solution

The fourth proportional to 312,426.60, 431,042.90 and 204,986.60 is: 282,812.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,426.60 : 431,042.90 = 204,986.60 : x
  2. Step 2: Convert to fraction form
    312,426.60/431,042.90 = 204,986.60/x
  3. Step 3: Cross multiply
    312,426.60x = 431,042.90 × 204,986.60
  4. Step 4: Simplify right side
    312,426.60x = 88,358,018,525.14
  5. Step 5: Solve for x
    x = 88,358,018,525.14/312,426.60
  6. Step 6: Final answer
    x = 282,812.09

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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.