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Finding the Fourth Proportional to 459,078.80, 688,591.48 and 206,294

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Solution

The fourth proportional to 459,078.80, 688,591.48 and 206,294 is: 309,428.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,078.80 : 688,591.48 = 206,294 : x
  2. Step 2: Convert to fraction form
    459,078.80/688,591.48 = 206,294/x
  3. Step 3: Cross multiply
    459,078.80x = 688,591.48 × 206,294
  4. Step 4: Simplify right side
    459,078.80x = 142,052,290,775.12
  5. Step 5: Solve for x
    x = 142,052,290,775.12/459,078.80
  6. Step 6: Final answer
    x = 309,428.99

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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.