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Finding the Fourth Proportional to 270,648.40, 405,972.60 and 130,421.20

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Solution

The fourth proportional to 270,648.40, 405,972.60 and 130,421.20 is: 195,631.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,648.40 : 405,972.60 = 130,421.20 : x
  2. Step 2: Convert to fraction form
    270,648.40/405,972.60 = 130,421.20/x
  3. Step 3: Cross multiply
    270,648.40x = 405,972.60 × 130,421.20
  4. Step 4: Simplify right side
    270,648.40x = 52,947,433,659.12
  5. Step 5: Solve for x
    x = 52,947,433,659.12/270,648.40
  6. Step 6: Final answer
    x = 195,631.80

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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.