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Finding the Fourth Proportional to 379,411.87, 523,589.75 and 207,329.84

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Solution

The fourth proportional to 379,411.87, 523,589.75 and 207,329.84 is: 286,115.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,411.87 : 523,589.75 = 207,329.84 : x
  2. Step 2: Convert to fraction form
    379,411.87/523,589.75 = 207,329.84/x
  3. Step 3: Cross multiply
    379,411.87x = 523,589.75 × 207,329.84
  4. Step 4: Simplify right side
    379,411.87x = 108,555,779,093.14
  5. Step 5: Solve for x
    x = 108,555,779,093.14/379,411.87
  6. Step 6: Final answer
    x = 286,115.93

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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.