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Finding the Fourth Proportional to 377,222.65, 520,570.94 and 205,144.31

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Solution

The fourth proportional to 377,222.65, 520,570.94 and 205,144.31 is: 283,101.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,222.65 : 520,570.94 = 205,144.31 : x
  2. Step 2: Convert to fraction form
    377,222.65/520,570.94 = 205,144.31/x
  3. Step 3: Cross multiply
    377,222.65x = 520,570.94 × 205,144.31
  4. Step 4: Simplify right side
    377,222.65x = 106,792,166,292.35
  5. Step 5: Solve for x
    x = 106,792,166,292.35/377,222.65
  6. Step 6: Final answer
    x = 283,101.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.