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Finding the Fourth Proportional to 289,847.84, 399,990.03 and 162,523.45

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Solution

The fourth proportional to 289,847.84, 399,990.03 and 162,523.45 is: 224,282.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,847.84 : 399,990.03 = 162,523.45 : x
  2. Step 2: Convert to fraction form
    289,847.84/399,990.03 = 162,523.45/x
  3. Step 3: Cross multiply
    289,847.84x = 399,990.03 × 162,523.45
  4. Step 4: Simplify right side
    289,847.84x = 65,007,757,641.25
  5. Step 5: Solve for x
    x = 65,007,757,641.25/289,847.84
  6. Step 6: Final answer
    x = 224,282.36

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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.