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Finding the Fourth Proportional to 288,386.40, 397,933.92 and 161,045.76

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Solution

The fourth proportional to 288,386.40, 397,933.92 and 161,045.76 is: 222,221.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,386.40 : 397,933.92 = 161,045.76 : x
  2. Step 2: Convert to fraction form
    288,386.40/397,933.92 = 161,045.76/x
  3. Step 3: Cross multiply
    288,386.40x = 397,933.92 × 161,045.76
  4. Step 4: Simplify right side
    288,386.40x = 64,085,570,576.18
  5. Step 5: Solve for x
    x = 64,085,570,576.18/288,386.40
  6. Step 6: Final answer
    x = 222,221.20

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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.