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Finding the Fourth Proportional to 288,127.94, 397,638.54 and 159,091.29

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Solution

The fourth proportional to 288,127.94, 397,638.54 and 159,091.29 is: 219,558.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,127.94 : 397,638.54 = 159,091.29 : x
  2. Step 2: Convert to fraction form
    288,127.94/397,638.54 = 159,091.29/x
  3. Step 3: Cross multiply
    288,127.94x = 397,638.54 × 159,091.29
  4. Step 4: Simplify right side
    288,127.94x = 63,260,828,282.32
  5. Step 5: Solve for x
    x = 63,260,828,282.32/288,127.94
  6. Step 6: Final answer
    x = 219,558.12

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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.