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Finding the Fourth Proportional to 291,491.52, 402,247.80 and 164,178.96

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Solution

The fourth proportional to 291,491.52, 402,247.80 and 164,178.96 is: 226,561.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,491.52 : 402,247.80 = 164,178.96 : x
  2. Step 2: Convert to fraction form
    291,491.52/402,247.80 = 164,178.96/x
  3. Step 3: Cross multiply
    291,491.52x = 402,247.80 × 164,178.96
  4. Step 4: Simplify right side
    291,491.52x = 66,040,625,466.29
  5. Step 5: Solve for x
    x = 66,040,625,466.29/291,491.52
  6. Step 6: Final answer
    x = 226,561.05

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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.