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Finding the Fourth Proportional to 304,811.52, 420,785.76 and 203,006.40

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Solution

The fourth proportional to 304,811.52, 420,785.76 and 203,006.40 is: 280,245.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,811.52 : 420,785.76 = 203,006.40 : x
  2. Step 2: Convert to fraction form
    304,811.52/420,785.76 = 203,006.40/x
  3. Step 3: Cross multiply
    304,811.52x = 420,785.76 × 203,006.40
  4. Step 4: Simplify right side
    304,811.52x = 85,422,202,308.86
  5. Step 5: Solve for x
    x = 85,422,202,308.86/304,811.52
  6. Step 6: Final answer
    x = 280,245.98

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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.