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Finding the Fourth Proportional to 397,380.80, 596,071.20 and 378,948.80

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Solution

The fourth proportional to 397,380.80, 596,071.20 and 378,948.80 is: 568,423.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,380.80 : 596,071.20 = 378,948.80 : x
  2. Step 2: Convert to fraction form
    397,380.80/596,071.20 = 378,948.80/x
  3. Step 3: Cross multiply
    397,380.80x = 596,071.20 × 378,948.80
  4. Step 4: Simplify right side
    397,380.80x = 225,880,465,954.56
  5. Step 5: Solve for x
    x = 225,880,465,954.56/397,380.80
  6. Step 6: Final answer
    x = 568,423.20

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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.