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Finding the Fourth Proportional to 471,613.26, 650,911.19 and 278,009.43

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Solution

The fourth proportional to 471,613.26, 650,911.19 and 278,009.43 is: 383,703.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,613.26 : 650,911.19 = 278,009.43 : x
  2. Step 2: Convert to fraction form
    471,613.26/650,911.19 = 278,009.43/x
  3. Step 3: Cross multiply
    471,613.26x = 650,911.19 × 278,009.43
  4. Step 4: Simplify right side
    471,613.26x = 180,959,447,522.48
  5. Step 5: Solve for x
    x = 180,959,447,522.48/471,613.26
  6. Step 6: Final answer
    x = 383,703.05

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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.