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Finding the Fourth Proportional to 298,380.28, 411,773.45 and 162,423

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Solution

The fourth proportional to 298,380.28, 411,773.45 and 162,423 is: 224,148.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,380.28 : 411,773.45 = 162,423 : x
  2. Step 2: Convert to fraction form
    298,380.28/411,773.45 = 162,423/x
  3. Step 3: Cross multiply
    298,380.28x = 411,773.45 × 162,423
  4. Step 4: Simplify right side
    298,380.28x = 66,881,479,069.35
  5. Step 5: Solve for x
    x = 66,881,479,069.35/298,380.28
  6. Step 6: Final answer
    x = 224,148.46

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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.