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Finding the Fourth Proportional to 291,718.97, 402,682.89 and 196,281.02

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Solution

The fourth proportional to 291,718.97, 402,682.89 and 196,281.02 is: 270,942.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,718.97 : 402,682.89 = 196,281.02 : x
  2. Step 2: Convert to fraction form
    291,718.97/402,682.89 = 196,281.02/x
  3. Step 3: Cross multiply
    291,718.97x = 402,682.89 × 196,281.02
  4. Step 4: Simplify right side
    291,718.97x = 79,039,010,128.51
  5. Step 5: Solve for x
    x = 79,039,010,128.51/291,718.97
  6. Step 6: Final answer
    x = 270,942.31

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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.