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Finding the Fourth Proportional to 325,020.90, 486,948.15 and 278,364.90

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Solution

The fourth proportional to 325,020.90, 486,948.15 and 278,364.90 is: 417,047.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,020.90 : 486,948.15 = 278,364.90 : x
  2. Step 2: Convert to fraction form
    325,020.90/486,948.15 = 278,364.90/x
  3. Step 3: Cross multiply
    325,020.90x = 486,948.15 × 278,364.90
  4. Step 4: Simplify right side
    325,020.90x = 135,549,273,079.94
  5. Step 5: Solve for x
    x = 135,549,273,079.94/325,020.90
  6. Step 6: Final answer
    x = 417,047.87

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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.