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Finding the Fourth Proportional to 345,202.52, 517,630.61 and 201,155

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Solution

The fourth proportional to 345,202.52, 517,630.61 and 201,155 is: 301,631.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,202.52 : 517,630.61 = 201,155 : x
  2. Step 2: Convert to fraction form
    345,202.52/517,630.61 = 201,155/x
  3. Step 3: Cross multiply
    345,202.52x = 517,630.61 × 201,155
  4. Step 4: Simplify right side
    345,202.52x = 104,123,985,354.55
  5. Step 5: Solve for x
    x = 104,123,985,354.55/345,202.52
  6. Step 6: Final answer
    x = 301,631.59

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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.