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Finding the Fourth Proportional to 259,813.80, 389,720.70 and 217,823.40

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Solution

The fourth proportional to 259,813.80, 389,720.70 and 217,823.40 is: 326,735.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,813.80 : 389,720.70 = 217,823.40 : x
  2. Step 2: Convert to fraction form
    259,813.80/389,720.70 = 217,823.40/x
  3. Step 3: Cross multiply
    259,813.80x = 389,720.70 × 217,823.40
  4. Step 4: Simplify right side
    259,813.80x = 84,890,287,924.38
  5. Step 5: Solve for x
    x = 84,890,287,924.38/259,813.80
  6. Step 6: Final answer
    x = 326,735.10

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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.