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Finding the Fourth Proportional to 520,792.25, 781,051.67 and 221,118.57

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Solution

The fourth proportional to 520,792.25, 781,051.67 and 221,118.57 is: 331,619.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,792.25 : 781,051.67 = 221,118.57 : x
  2. Step 2: Convert to fraction form
    520,792.25/781,051.67 = 221,118.57/x
  3. Step 3: Cross multiply
    520,792.25x = 781,051.67 × 221,118.57
  4. Step 4: Simplify right side
    520,792.25x = 172,705,027,260.92
  5. Step 5: Solve for x
    x = 172,705,027,260.92/520,792.25
  6. Step 6: Final answer
    x = 331,619.81

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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.