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Finding the Fourth Proportional to 291,428.78, 402,178.44 and 162,375.80

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Solution

The fourth proportional to 291,428.78, 402,178.44 and 162,375.80 is: 224,082.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,428.78 : 402,178.44 = 162,375.80 : x
  2. Step 2: Convert to fraction form
    291,428.78/402,178.44 = 162,375.80/x
  3. Step 3: Cross multiply
    291,428.78x = 402,178.44 × 162,375.80
  4. Step 4: Simplify right side
    291,428.78x = 65,304,043,926.86
  5. Step 5: Solve for x
    x = 65,304,043,926.86/291,428.78
  6. Step 6: Final answer
    x = 224,082.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.