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Finding the Fourth Proportional to 288,935.80, 398,732.43 and 161,603.26

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Solution

The fourth proportional to 288,935.80, 398,732.43 and 161,603.26 is: 223,013.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,935.80 : 398,732.43 = 161,603.26 : x
  2. Step 2: Convert to fraction form
    288,935.80/398,732.43 = 161,603.26/x
  3. Step 3: Cross multiply
    288,935.80x = 398,732.43 × 161,603.26
  4. Step 4: Simplify right side
    288,935.80x = 64,436,460,555.72
  5. Step 5: Solve for x
    x = 64,436,460,555.72/288,935.80
  6. Step 6: Final answer
    x = 223,013.07

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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.