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Finding the Fourth Proportional to 257,896.64, 386,964.16 and 117,698.24

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Solution

The fourth proportional to 257,896.64, 386,964.16 and 117,698.24 is: 176,601.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,896.64 : 386,964.16 = 117,698.24 : x
  2. Step 2: Convert to fraction form
    257,896.64/386,964.16 = 117,698.24/x
  3. Step 3: Cross multiply
    257,896.64x = 386,964.16 × 117,698.24
  4. Step 4: Simplify right side
    257,896.64x = 45,545,000,575.08
  5. Step 5: Solve for x
    x = 45,545,000,575.08/257,896.64
  6. Step 6: Final answer
    x = 176,601.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.