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Finding the Fourth Proportional to 410,128.20, 614,616.30 and 326,032.20

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Solution

The fourth proportional to 410,128.20, 614,616.30 and 326,032.20 is: 488,590.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,128.20 : 614,616.30 = 326,032.20 : x
  2. Step 2: Convert to fraction form
    410,128.20/614,616.30 = 326,032.20/x
  3. Step 3: Cross multiply
    410,128.20x = 614,616.30 × 326,032.20
  4. Step 4: Simplify right side
    410,128.20x = 200,384,704,444.86
  5. Step 5: Solve for x
    x = 200,384,704,444.86/410,128.20
  6. Step 6: Final answer
    x = 488,590.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.