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Finding the Fourth Proportional to 279,907.90, 419,593.05 and 92,823.10

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Solution

The fourth proportional to 279,907.90, 419,593.05 and 92,823.10 is: 139,145.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,907.90 : 419,593.05 = 92,823.10 : x
  2. Step 2: Convert to fraction form
    279,907.90/419,593.05 = 92,823.10/x
  3. Step 3: Cross multiply
    279,907.90x = 419,593.05 × 92,823.10
  4. Step 4: Simplify right side
    279,907.90x = 38,947,927,639.46
  5. Step 5: Solve for x
    x = 38,947,927,639.46/279,907.90
  6. Step 6: Final answer
    x = 139,145.51

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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.