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Finding the Fourth Proportional to 377,103.25, 520,412.34 and 205,032.79

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Solution

The fourth proportional to 377,103.25, 520,412.34 and 205,032.79 is: 282,950.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,103.25 : 520,412.34 = 205,032.79 : x
  2. Step 2: Convert to fraction form
    377,103.25/520,412.34 = 205,032.79/x
  3. Step 3: Cross multiply
    377,103.25x = 520,412.34 × 205,032.79
  4. Step 4: Simplify right side
    377,103.25x = 106,701,594,020.63
  5. Step 5: Solve for x
    x = 106,701,594,020.63/377,103.25
  6. Step 6: Final answer
    x = 282,950.61

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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.