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Finding the Fourth Proportional to 502,011.10, 752,511.21 and 221,478.94

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Solution

The fourth proportional to 502,011.10, 752,511.21 and 221,478.94 is: 331,995.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,011.10 : 752,511.21 = 221,478.94 : x
  2. Step 2: Convert to fraction form
    502,011.10/752,511.21 = 221,478.94/x
  3. Step 3: Cross multiply
    502,011.10x = 752,511.21 × 221,478.94
  4. Step 4: Simplify right side
    502,011.10x = 166,665,385,128.92
  5. Step 5: Solve for x
    x = 166,665,385,128.92/502,011.10
  6. Step 6: Final answer
    x = 331,995.42

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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.