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Finding the Fourth Proportional to 313,014.88, 431,948.88 and 185,614.24

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Solution

The fourth proportional to 313,014.88, 431,948.88 and 185,614.24 is: 256,140.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,014.88 : 431,948.88 = 185,614.24 : x
  2. Step 2: Convert to fraction form
    313,014.88/431,948.88 = 185,614.24/x
  3. Step 3: Cross multiply
    313,014.88x = 431,948.88 × 185,614.24
  4. Step 4: Simplify right side
    313,014.88x = 80,175,863,080.05
  5. Step 5: Solve for x
    x = 80,175,863,080.05/313,014.88
  6. Step 6: Final answer
    x = 256,140.74

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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.