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Finding the Fourth Proportional to 313,026.96, 431,833.72 and 185,656.08

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Solution

The fourth proportional to 313,026.96, 431,833.72 and 185,656.08 is: 256,120.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,026.96 : 431,833.72 = 185,656.08 : x
  2. Step 2: Convert to fraction form
    313,026.96/431,833.72 = 185,656.08/x
  3. Step 3: Cross multiply
    313,026.96x = 431,833.72 × 185,656.08
  4. Step 4: Simplify right side
    313,026.96x = 80,172,555,667.02
  5. Step 5: Solve for x
    x = 80,172,555,667.02/313,026.96
  6. Step 6: Final answer
    x = 256,120.29

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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.