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Finding the Fourth Proportional to 290,819.16, 401,304.78 and 161,752.14

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Solution

The fourth proportional to 290,819.16, 401,304.78 and 161,752.14 is: 223,203.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,819.16 : 401,304.78 = 161,752.14 : x
  2. Step 2: Convert to fraction form
    290,819.16/401,304.78 = 161,752.14/x
  3. Step 3: Cross multiply
    290,819.16x = 401,304.78 × 161,752.14
  4. Step 4: Simplify right side
    290,819.16x = 64,911,906,957.23
  5. Step 5: Solve for x
    x = 64,911,906,957.23/290,819.16
  6. Step 6: Final answer
    x = 223,203.68

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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.