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Finding the Fourth Proportional to 420,888.14, 631,425.49 and 121,345.34

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Solution

The fourth proportional to 420,888.14, 631,425.49 and 121,345.34 is: 182,044.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,888.14 : 631,425.49 = 121,345.34 : x
  2. Step 2: Convert to fraction form
    420,888.14/631,425.49 = 121,345.34/x
  3. Step 3: Cross multiply
    420,888.14x = 631,425.49 × 121,345.34
  4. Step 4: Simplify right side
    420,888.14x = 76,620,541,542.56
  5. Step 5: Solve for x
    x = 76,620,541,542.56/420,888.14
  6. Step 6: Final answer
    x = 182,044.91

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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.