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Finding the Fourth Proportional to 312,989.56, 431,885.96 and 185,640.28

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Solution

The fourth proportional to 312,989.56, 431,885.96 and 185,640.28 is: 256,160.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,989.56 : 431,885.96 = 185,640.28 : x
  2. Step 2: Convert to fraction form
    312,989.56/431,885.96 = 185,640.28/x
  3. Step 3: Cross multiply
    312,989.56x = 431,885.96 × 185,640.28
  4. Step 4: Simplify right side
    312,989.56x = 80,175,430,542.47
  5. Step 5: Solve for x
    x = 80,175,430,542.47/312,989.56
  6. Step 6: Final answer
    x = 256,160.08

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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.