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Finding the Fourth Proportional to 291,205.71, 401,797.40 and 163,834.83

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Solution

The fourth proportional to 291,205.71, 401,797.40 and 163,834.83 is: 226,054.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,205.71 : 401,797.40 = 163,834.83 : x
  2. Step 2: Convert to fraction form
    291,205.71/401,797.40 = 163,834.83/x
  3. Step 3: Cross multiply
    291,205.71x = 401,797.40 × 163,834.83
  4. Step 4: Simplify right side
    291,205.71x = 65,828,407,904.27
  5. Step 5: Solve for x
    x = 65,828,407,904.27/291,205.71
  6. Step 6: Final answer
    x = 226,054.66

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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.