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Finding the Fourth Proportional to 410,879.26, 615,266.70 and 284,344.30

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Solution

The fourth proportional to 410,879.26, 615,266.70 and 284,344.30 is: 425,788.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,879.26 : 615,266.70 = 284,344.30 : x
  2. Step 2: Convert to fraction form
    410,879.26/615,266.70 = 284,344.30/x
  3. Step 3: Cross multiply
    410,879.26x = 615,266.70 × 284,344.30
  4. Step 4: Simplify right side
    410,879.26x = 174,947,579,124.81
  5. Step 5: Solve for x
    x = 174,947,579,124.81/410,879.26
  6. Step 6: Final answer
    x = 425,788.29

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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.