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Finding the Fourth Proportional to 288,538.31, 398,203.47 and 159,474.01

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Solution

The fourth proportional to 288,538.31, 398,203.47 and 159,474.01 is: 220,085.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,538.31 : 398,203.47 = 159,474.01 : x
  2. Step 2: Convert to fraction form
    288,538.31/398,203.47 = 159,474.01/x
  3. Step 3: Cross multiply
    288,538.31x = 398,203.47 × 159,474.01
  4. Step 4: Simplify right side
    288,538.31x = 63,503,104,156.81
  5. Step 5: Solve for x
    x = 63,503,104,156.81/288,538.31
  6. Step 6: Final answer
    x = 220,085.52

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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.