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Finding the Fourth Proportional to 291,193.74, 401,846.54 and 163,869.34

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Solution

The fourth proportional to 291,193.74, 401,846.54 and 163,869.34 is: 226,139.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,193.74 : 401,846.54 = 163,869.34 : x
  2. Step 2: Convert to fraction form
    291,193.74/401,846.54 = 163,869.34/x
  3. Step 3: Cross multiply
    291,193.74x = 401,846.54 × 163,869.34
  4. Step 4: Simplify right side
    291,193.74x = 65,850,327,291.08
  5. Step 5: Solve for x
    x = 65,850,327,291.08/291,193.74
  6. Step 6: Final answer
    x = 226,139.23

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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.