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Finding the Fourth Proportional to 393,343.20, 590,306.40 and 260,179.20

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Solution

The fourth proportional to 393,343.20, 590,306.40 and 260,179.20 is: 390,461.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,343.20 : 590,306.40 = 260,179.20 : x
  2. Step 2: Convert to fraction form
    393,343.20/590,306.40 = 260,179.20/x
  3. Step 3: Cross multiply
    393,343.20x = 590,306.40 × 260,179.20
  4. Step 4: Simplify right side
    393,343.20x = 153,585,446,906.88
  5. Step 5: Solve for x
    x = 153,585,446,906.88/393,343.20
  6. Step 6: Final answer
    x = 390,461.68

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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.