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Finding the Fourth Proportional to 180,412.30, 270,290.40 and 146,951.20

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Solution

The fourth proportional to 180,412.30, 270,290.40 and 146,951.20 is: 220,159.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,412.30 : 270,290.40 = 146,951.20 : x
  2. Step 2: Convert to fraction form
    180,412.30/270,290.40 = 146,951.20/x
  3. Step 3: Cross multiply
    180,412.30x = 270,290.40 × 146,951.20
  4. Step 4: Simplify right side
    180,412.30x = 39,719,498,628.48
  5. Step 5: Solve for x
    x = 39,719,498,628.48/180,412.30
  6. Step 6: Final answer
    x = 220,159.59

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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.