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Finding the Fourth Proportional to 351,434.60, 527,151.90 and 258,122.60

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Solution

The fourth proportional to 351,434.60, 527,151.90 and 258,122.60 is: 387,183.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,434.60 : 527,151.90 = 258,122.60 : x
  2. Step 2: Convert to fraction form
    351,434.60/527,151.90 = 258,122.60/x
  3. Step 3: Cross multiply
    351,434.60x = 527,151.90 × 258,122.60
  4. Step 4: Simplify right side
    351,434.60x = 136,069,819,022.94
  5. Step 5: Solve for x
    x = 136,069,819,022.94/351,434.60
  6. Step 6: Final answer
    x = 387,183.90

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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.