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Finding the Fourth Proportional to 289,720.32, 434,620.80 and 131,988.48

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Solution

The fourth proportional to 289,720.32, 434,620.80 and 131,988.48 is: 198,001.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,720.32 : 434,620.80 = 131,988.48 : x
  2. Step 2: Convert to fraction form
    289,720.32/434,620.80 = 131,988.48/x
  3. Step 3: Cross multiply
    289,720.32x = 434,620.80 × 131,988.48
  4. Step 4: Simplify right side
    289,720.32x = 57,364,938,768.38
  5. Step 5: Solve for x
    x = 57,364,938,768.38/289,720.32
  6. Step 6: Final answer
    x = 198,001.09

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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.