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Finding the Fourth Proportional to 291,570.52, 402,359.70 and 164,238.52

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Solution

The fourth proportional to 291,570.52, 402,359.70 and 164,238.52 is: 226,644.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,570.52 : 402,359.70 = 164,238.52 : x
  2. Step 2: Convert to fraction form
    291,570.52/402,359.70 = 164,238.52/x
  3. Step 3: Cross multiply
    291,570.52x = 402,359.70 × 164,238.52
  4. Step 4: Simplify right side
    291,570.52x = 66,082,961,635.64
  5. Step 5: Solve for x
    x = 66,082,961,635.64/291,570.52
  6. Step 6: Final answer
    x = 226,644.87

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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.