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Finding the Fourth Proportional to 520,703.70, 780,902.42 and 221,181.90

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Solution

The fourth proportional to 520,703.70, 780,902.42 and 221,181.90 is: 331,707.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,703.70 : 780,902.42 = 221,181.90 : x
  2. Step 2: Convert to fraction form
    520,703.70/780,902.42 = 221,181.90/x
  3. Step 3: Cross multiply
    520,703.70x = 780,902.42 × 221,181.90
  4. Step 4: Simplify right side
    520,703.70x = 172,721,480,970.20
  5. Step 5: Solve for x
    x = 172,721,480,970.20/520,703.70
  6. Step 6: Final answer
    x = 331,707.80

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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.