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Finding the Fourth Proportional to 284,194.74, 392,016.60 and 169,396.89

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Solution

The fourth proportional to 284,194.74, 392,016.60 and 169,396.89 is: 233,665.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,194.74 : 392,016.60 = 169,396.89 : x
  2. Step 2: Convert to fraction form
    284,194.74/392,016.60 = 169,396.89/x
  3. Step 3: Cross multiply
    284,194.74x = 392,016.60 × 169,396.89
  4. Step 4: Simplify right side
    284,194.74x = 66,406,392,868.37
  5. Step 5: Solve for x
    x = 66,406,392,868.37/284,194.74
  6. Step 6: Final answer
    x = 233,665.10

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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.