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Finding the Fourth Proportional to 321,783.74, 482,677.21 and 132,347.42

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Solution

The fourth proportional to 321,783.74, 482,677.21 and 132,347.42 is: 198,521.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,783.74 : 482,677.21 = 132,347.42 : x
  2. Step 2: Convert to fraction form
    321,783.74/482,677.21 = 132,347.42/x
  3. Step 3: Cross multiply
    321,783.74x = 482,677.21 × 132,347.42
  4. Step 4: Simplify right side
    321,783.74x = 63,881,083,436.30
  5. Step 5: Solve for x
    x = 63,881,083,436.30/321,783.74
  6. Step 6: Final answer
    x = 198,521.79

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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.