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Finding the Fourth Proportional to 313,016.94, 431,819.91 and 185,646.06

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Solution

The fourth proportional to 313,016.94, 431,819.91 and 185,646.06 is: 256,106.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,016.94 : 431,819.91 = 185,646.06 : x
  2. Step 2: Convert to fraction form
    313,016.94/431,819.91 = 185,646.06/x
  3. Step 3: Cross multiply
    313,016.94x = 431,819.91 × 185,646.06
  4. Step 4: Simplify right side
    313,016.94x = 80,165,664,921.05
  5. Step 5: Solve for x
    x = 80,165,664,921.05/313,016.94
  6. Step 6: Final answer
    x = 256,106.47

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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.