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Finding the Fourth Proportional to 288,047.16, 431,955.20 and 119,452.95

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Solution

The fourth proportional to 288,047.16, 431,955.20 and 119,452.95 is: 179,131.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,047.16 : 431,955.20 = 119,452.95 : x
  2. Step 2: Convert to fraction form
    288,047.16/431,955.20 = 119,452.95/x
  3. Step 3: Cross multiply
    288,047.16x = 431,955.20 × 119,452.95
  4. Step 4: Simplify right side
    288,047.16x = 51,598,322,907.84
  5. Step 5: Solve for x
    x = 51,598,322,907.84/288,047.16
  6. Step 6: Final answer
    x = 179,131.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.