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Finding the Fourth Proportional to 413,011.78, 619,517.70 and 146,782.80

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Solution

The fourth proportional to 413,011.78, 619,517.70 and 146,782.80 is: 220,174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,011.78 : 619,517.70 = 146,782.80 : x
  2. Step 2: Convert to fraction form
    413,011.78/619,517.70 = 146,782.80/x
  3. Step 3: Cross multiply
    413,011.78x = 619,517.70 × 146,782.80
  4. Step 4: Simplify right side
    413,011.78x = 90,934,542,655.56
  5. Step 5: Solve for x
    x = 90,934,542,655.56/413,011.78
  6. Step 6: Final answer
    x = 220,174.21

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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.