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Finding the Fourth Proportional to 288,213.60, 432,320.40 and 270,717.60

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Solution

The fourth proportional to 288,213.60, 432,320.40 and 270,717.60 is: 406,076.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,213.60 : 432,320.40 = 270,717.60 : x
  2. Step 2: Convert to fraction form
    288,213.60/432,320.40 = 270,717.60/x
  3. Step 3: Cross multiply
    288,213.60x = 432,320.40 × 270,717.60
  4. Step 4: Simplify right side
    288,213.60x = 117,036,741,119.04
  5. Step 5: Solve for x
    x = 117,036,741,119.04/288,213.60
  6. Step 6: Final answer
    x = 406,076.40

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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.