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Finding the Fourth Proportional to 306,641.30, 459,929.60 and 82,024.40

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Solution

The fourth proportional to 306,641.30, 459,929.60 and 82,024.40 is: 123,027.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,641.30 : 459,929.60 = 82,024.40 : x
  2. Step 2: Convert to fraction form
    306,641.30/459,929.60 = 82,024.40/x
  3. Step 3: Cross multiply
    306,641.30x = 459,929.60 × 82,024.40
  4. Step 4: Simplify right side
    306,641.30x = 37,725,450,221.94
  5. Step 5: Solve for x
    x = 37,725,450,221.94/306,641.30
  6. Step 6: Final answer
    x = 123,027.95

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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.