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Finding the Fourth Proportional to 290,783.60, 401,279.16 and 161,723.20

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Solution

The fourth proportional to 290,783.60, 401,279.16 and 161,723.20 is: 223,176.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,783.60 : 401,279.16 = 161,723.20 : x
  2. Step 2: Convert to fraction form
    290,783.60/401,279.16 = 161,723.20/x
  3. Step 3: Cross multiply
    290,783.60x = 401,279.16 × 161,723.20
  4. Step 4: Simplify right side
    290,783.60x = 64,896,149,848.51
  5. Step 5: Solve for x
    x = 64,896,149,848.51/290,783.60
  6. Step 6: Final answer
    x = 223,176.79

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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.