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Finding the Fourth Proportional to 421,358.23, 632,031 and 137,061.73

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Solution

The fourth proportional to 421,358.23, 632,031 and 137,061.73 is: 205,590.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,358.23 : 632,031 = 137,061.73 : x
  2. Step 2: Convert to fraction form
    421,358.23/632,031 = 137,061.73/x
  3. Step 3: Cross multiply
    421,358.23x = 632,031 × 137,061.73
  4. Step 4: Simplify right side
    421,358.23x = 86,627,262,273.63
  5. Step 5: Solve for x
    x = 86,627,262,273.63/421,358.23
  6. Step 6: Final answer
    x = 205,590.53

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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.