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Finding the Fourth Proportional to 438,530, 657,899 and 143,042

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Solution

The fourth proportional to 438,530, 657,899 and 143,042 is: 214,596.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,530 : 657,899 = 143,042 : x
  2. Step 2: Convert to fraction form
    438,530/657,899 = 143,042/x
  3. Step 3: Cross multiply
    438,530x = 657,899 × 143,042
  4. Step 4: Simplify right side
    438,530x = 94,107,188,758
  5. Step 5: Solve for x
    x = 94,107,188,758/438,530
  6. Step 6: Final answer
    x = 214,596.92

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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.