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Finding the Fourth Proportional to 365,677.91, 548,430.71 and 205,821.89

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Solution

The fourth proportional to 365,677.91, 548,430.71 and 205,821.89 is: 308,684.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,677.91 : 548,430.71 = 205,821.89 : x
  2. Step 2: Convert to fraction form
    365,677.91/548,430.71 = 205,821.89/x
  3. Step 3: Cross multiply
    365,677.91x = 548,430.71 × 205,821.89
  4. Step 4: Simplify right side
    365,677.91x = 112,879,041,494.98
  5. Step 5: Solve for x
    x = 112,879,041,494.98/365,677.91
  6. Step 6: Final answer
    x = 308,684.34

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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.