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Finding the Fourth Proportional to 288,669.76, 398,376.43 and 161,345.25

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Solution

The fourth proportional to 288,669.76, 398,376.43 and 161,345.25 is: 222,663.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,669.76 : 398,376.43 = 161,345.25 : x
  2. Step 2: Convert to fraction form
    288,669.76/398,376.43 = 161,345.25/x
  3. Step 3: Cross multiply
    288,669.76x = 398,376.43 × 161,345.25
  4. Step 4: Simplify right side
    288,669.76x = 64,276,144,289.09
  5. Step 5: Solve for x
    x = 64,276,144,289.09/288,669.76
  6. Step 6: Final answer
    x = 222,663.24

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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.