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Finding the Fourth Proportional to 290,877.14, 436,325.25 and 80,497.46

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Solution

The fourth proportional to 290,877.14, 436,325.25 and 80,497.46 is: 120,748.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,877.14 : 436,325.25 = 80,497.46 : x
  2. Step 2: Convert to fraction form
    290,877.14/436,325.25 = 80,497.46/x
  3. Step 3: Cross multiply
    290,877.14x = 436,325.25 × 80,497.46
  4. Step 4: Simplify right side
    290,877.14x = 35,123,074,358.87
  5. Step 5: Solve for x
    x = 35,123,074,358.87/290,877.14
  6. Step 6: Final answer
    x = 120,748.83

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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.