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Finding the Fourth Proportional to 286,082.37, 394,780.37 and 158,756.85

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Solution

The fourth proportional to 286,082.37, 394,780.37 and 158,756.85 is: 219,077.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,082.37 : 394,780.37 = 158,756.85 : x
  2. Step 2: Convert to fraction form
    286,082.37/394,780.37 = 158,756.85/x
  3. Step 3: Cross multiply
    286,082.37x = 394,780.37 × 158,756.85
  4. Step 4: Simplify right side
    286,082.37x = 62,674,087,189.25
  5. Step 5: Solve for x
    x = 62,674,087,189.25/286,082.37
  6. Step 6: Final answer
    x = 219,077.07

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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.