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Finding the Fourth Proportional to 290,885.49, 401,412.51 and 161,823.33

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Solution

The fourth proportional to 290,885.49, 401,412.51 and 161,823.33 is: 223,310.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,885.49 : 401,412.51 = 161,823.33 : x
  2. Step 2: Convert to fraction form
    290,885.49/401,412.51 = 161,823.33/x
  3. Step 3: Cross multiply
    290,885.49x = 401,412.51 × 161,823.33
  4. Step 4: Simplify right side
    290,885.49x = 64,957,909,071.86
  5. Step 5: Solve for x
    x = 64,957,909,071.86/290,885.49
  6. Step 6: Final answer
    x = 223,310.93

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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.