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Finding the Fourth Proportional to 310,876.20, 466,314.30 and 284,956.20

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Solution

The fourth proportional to 310,876.20, 466,314.30 and 284,956.20 is: 427,434.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,876.20 : 466,314.30 = 284,956.20 : x
  2. Step 2: Convert to fraction form
    310,876.20/466,314.30 = 284,956.20/x
  3. Step 3: Cross multiply
    310,876.20x = 466,314.30 × 284,956.20
  4. Step 4: Simplify right side
    310,876.20x = 132,879,150,933.66
  5. Step 5: Solve for x
    x = 132,879,150,933.66/310,876.20
  6. Step 6: Final answer
    x = 427,434.30

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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.