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Finding the Fourth Proportional to 180,414, 270,612.77 and 47,291.31

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Solution

The fourth proportional to 180,414, 270,612.77 and 47,291.31 is: 70,934.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,414 : 270,612.77 = 47,291.31 : x
  2. Step 2: Convert to fraction form
    180,414/270,612.77 = 47,291.31/x
  3. Step 3: Cross multiply
    180,414x = 270,612.77 × 47,291.31
  4. Step 4: Simplify right side
    180,414x = 12,797,632,159.57
  5. Step 5: Solve for x
    x = 12,797,632,159.57/180,414
  6. Step 6: Final answer
    x = 70,934.81

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1.5x scale

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.