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Finding the Fourth Proportional to 398,758.08, 550,282.24 and 228,993.44

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Solution

The fourth proportional to 398,758.08, 550,282.24 and 228,993.44 is: 316,008.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,758.08 : 550,282.24 = 228,993.44 : x
  2. Step 2: Convert to fraction form
    398,758.08/550,282.24 = 228,993.44/x
  3. Step 3: Cross multiply
    398,758.08x = 550,282.24 × 228,993.44
  4. Step 4: Simplify right side
    398,758.08x = 126,011,023,108.51
  5. Step 5: Solve for x
    x = 126,011,023,108.51/398,758.08
  6. Step 6: Final answer
    x = 316,008.70

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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.