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Finding the Fourth Proportional to 517,565.26, 714,223.30 and 288,115.05

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Solution

The fourth proportional to 517,565.26, 714,223.30 and 288,115.05 is: 397,589.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,565.26 : 714,223.30 = 288,115.05 : x
  2. Step 2: Convert to fraction form
    517,565.26/714,223.30 = 288,115.05/x
  3. Step 3: Cross multiply
    517,565.26x = 714,223.30 × 288,115.05
  4. Step 4: Simplify right side
    517,565.26x = 205,778,481,790.67
  5. Step 5: Solve for x
    x = 205,778,481,790.67/517,565.26
  6. Step 6: Final answer
    x = 397,589.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.