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Finding the Fourth Proportional to 548,807.85, 823,211.80 and 361,775.61

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Solution

The fourth proportional to 548,807.85, 823,211.80 and 361,775.61 is: 542,663.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,807.85 : 823,211.80 = 361,775.61 : x
  2. Step 2: Convert to fraction form
    548,807.85/823,211.80 = 361,775.61/x
  3. Step 3: Cross multiply
    548,807.85x = 823,211.80 × 361,775.61
  4. Step 4: Simplify right side
    548,807.85x = 297,817,950,199.76
  5. Step 5: Solve for x
    x = 297,817,950,199.76/548,807.85
  6. Step 6: Final answer
    x = 542,663.43

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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.