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Finding the Fourth Proportional to 356,011.20, 533,584.80 and 205,963.20

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Solution

The fourth proportional to 356,011.20, 533,584.80 and 205,963.20 is: 308,694.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,011.20 : 533,584.80 = 205,963.20 : x
  2. Step 2: Convert to fraction form
    356,011.20/533,584.80 = 205,963.20/x
  3. Step 3: Cross multiply
    356,011.20x = 533,584.80 × 205,963.20
  4. Step 4: Simplify right side
    356,011.20x = 109,898,832,879.36
  5. Step 5: Solve for x
    x = 109,898,832,879.36/356,011.20
  6. Step 6: Final answer
    x = 308,694.87

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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.