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Finding the Fourth Proportional to 230,212.83, 317,742.72 and 154,717.59

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Solution

The fourth proportional to 230,212.83, 317,742.72 and 154,717.59 is: 213,543.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,212.83 : 317,742.72 = 154,717.59 : x
  2. Step 2: Convert to fraction form
    230,212.83/317,742.72 = 154,717.59/x
  3. Step 3: Cross multiply
    230,212.83x = 317,742.72 × 154,717.59
  4. Step 4: Simplify right side
    230,212.83x = 49,160,388,489.79
  5. Step 5: Solve for x
    x = 49,160,388,489.79/230,212.83
  6. Step 6: Final answer
    x = 213,543.21

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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.