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Finding the Fourth Proportional to 291,218.42, 402,005.41 and 195,780.48

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Solution

The fourth proportional to 291,218.42, 402,005.41 and 195,780.48 is: 270,260.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,218.42 : 402,005.41 = 195,780.48 : x
  2. Step 2: Convert to fraction form
    291,218.42/402,005.41 = 195,780.48/x
  3. Step 3: Cross multiply
    291,218.42x = 402,005.41 × 195,780.48
  4. Step 4: Simplify right side
    291,218.42x = 78,704,810,122.37
  5. Step 5: Solve for x
    x = 78,704,810,122.37/291,218.42
  6. Step 6: Final answer
    x = 270,260.41

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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.