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Finding the Fourth Proportional to 289,294.97, 399,222.60 and 161,975.12

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Solution

The fourth proportional to 289,294.97, 399,222.60 and 161,975.12 is: 223,523.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,294.97 : 399,222.60 = 161,975.12 : x
  2. Step 2: Convert to fraction form
    289,294.97/399,222.60 = 161,975.12/x
  3. Step 3: Cross multiply
    289,294.97x = 399,222.60 × 161,975.12
  4. Step 4: Simplify right side
    289,294.97x = 64,664,128,541.71
  5. Step 5: Solve for x
    x = 64,664,128,541.71/289,294.97
  6. Step 6: Final answer
    x = 223,523.17

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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.