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Finding the Fourth Proportional to 402,089.95, 603,154.32 and 132,212.11

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Solution

The fourth proportional to 402,089.95, 603,154.32 and 132,212.11 is: 198,324.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,089.95 : 603,154.32 = 132,212.11 : x
  2. Step 2: Convert to fraction form
    402,089.95/603,154.32 = 132,212.11/x
  3. Step 3: Cross multiply
    402,089.95x = 603,154.32 × 132,212.11
  4. Step 4: Simplify right side
    402,089.95x = 79,744,304,995.51
  5. Step 5: Solve for x
    x = 79,744,304,995.51/402,089.95
  6. Step 6: Final answer
    x = 198,324.54

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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.