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Finding the Fourth Proportional to 306,641.80, 459,930.35 and 82,024.90

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Solution

The fourth proportional to 306,641.80, 459,930.35 and 82,024.90 is: 123,028.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,641.80 : 459,930.35 = 82,024.90 : x
  2. Step 2: Convert to fraction form
    306,641.80/459,930.35 = 82,024.90/x
  3. Step 3: Cross multiply
    306,641.80x = 459,930.35 × 82,024.90
  4. Step 4: Simplify right side
    306,641.80x = 37,725,740,965.72
  5. Step 5: Solve for x
    x = 37,725,740,965.72/306,641.80
  6. Step 6: Final answer
    x = 123,028.70

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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.