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Finding the Fourth Proportional to 342,891.40, 514,419.22 and 143,100.65

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Solution

The fourth proportional to 342,891.40, 514,419.22 and 143,100.65 is: 214,685.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,891.40 : 514,419.22 = 143,100.65 : x
  2. Step 2: Convert to fraction form
    342,891.40/514,419.22 = 143,100.65/x
  3. Step 3: Cross multiply
    342,891.40x = 514,419.22 × 143,100.65
  4. Step 4: Simplify right side
    342,891.40x = 73,613,724,754.49
  5. Step 5: Solve for x
    x = 73,613,724,754.49/342,891.40
  6. Step 6: Final answer
    x = 214,685.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.