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Finding the Fourth Proportional to 268,396.82, 370,392.22 and 147,543.20

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Solution

The fourth proportional to 268,396.82, 370,392.22 and 147,543.20 is: 203,612.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,396.82 : 370,392.22 = 147,543.20 : x
  2. Step 2: Convert to fraction form
    268,396.82/370,392.22 = 147,543.20/x
  3. Step 3: Cross multiply
    268,396.82x = 370,392.22 × 147,543.20
  4. Step 4: Simplify right side
    268,396.82x = 54,648,855,198.80
  5. Step 5: Solve for x
    x = 54,648,855,198.80/268,396.82
  6. Step 6: Final answer
    x = 203,612.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.