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Finding the Fourth Proportional to 313,273.68, 432,120.96 and 185,859

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Solution

The fourth proportional to 313,273.68, 432,120.96 and 185,859 is: 256,368.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,273.68 : 432,120.96 = 185,859 : x
  2. Step 2: Convert to fraction form
    313,273.68/432,120.96 = 185,859/x
  3. Step 3: Cross multiply
    313,273.68x = 432,120.96 × 185,859
  4. Step 4: Simplify right side
    313,273.68x = 80,313,569,504.64
  5. Step 5: Solve for x
    x = 80,313,569,504.64/313,273.68
  6. Step 6: Final answer
    x = 256,368.71

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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.