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Finding the Fourth Proportional to 521,102.70, 781,362.45 and 221,532.30

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Solution

The fourth proportional to 521,102.70, 781,362.45 and 221,532.30 is: 332,174.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,102.70 : 781,362.45 = 221,532.30 : x
  2. Step 2: Convert to fraction form
    521,102.70/781,362.45 = 221,532.30/x
  3. Step 3: Cross multiply
    521,102.70x = 781,362.45 × 221,532.30
  4. Step 4: Simplify right side
    521,102.70x = 173,097,020,682.14
  5. Step 5: Solve for x
    x = 173,097,020,682.14/521,102.70
  6. Step 6: Final answer
    x = 332,174.48

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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.