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Finding the Fourth Proportional to 288,537.31, 398,202.09 and 159,473.01

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Solution

The fourth proportional to 288,537.31, 398,202.09 and 159,473.01 is: 220,084.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,537.31 : 398,202.09 = 159,473.01 : x
  2. Step 2: Convert to fraction form
    288,537.31/398,202.09 = 159,473.01/x
  3. Step 3: Cross multiply
    288,537.31x = 398,202.09 × 159,473.01
  4. Step 4: Simplify right side
    288,537.31x = 63,502,485,880.59
  5. Step 5: Solve for x
    x = 63,502,485,880.59/288,537.31
  6. Step 6: Final answer
    x = 220,084.14

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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.