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Finding the Fourth Proportional to 377,650.95, 521,169.23 and 205,580.07

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Solution

The fourth proportional to 377,650.95, 521,169.23 and 205,580.07 is: 283,706.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,650.95 : 521,169.23 = 205,580.07 : x
  2. Step 2: Convert to fraction form
    377,650.95/521,169.23 = 205,580.07/x
  3. Step 3: Cross multiply
    377,650.95x = 521,169.23 × 205,580.07
  4. Step 4: Simplify right side
    377,650.95x = 107,142,006,785.25
  5. Step 5: Solve for x
    x = 107,142,006,785.25/377,650.95
  6. Step 6: Final answer
    x = 283,706.44

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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.