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Finding the Fourth Proportional to 279,898.10, 419,847.15 and 92,909.60

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Solution

The fourth proportional to 279,898.10, 419,847.15 and 92,909.60 is: 139,364.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,898.10 : 419,847.15 = 92,909.60 : x
  2. Step 2: Convert to fraction form
    279,898.10/419,847.15 = 92,909.60/x
  3. Step 3: Cross multiply
    279,898.10x = 419,847.15 × 92,909.60
  4. Step 4: Simplify right side
    279,898.10x = 39,007,830,767.64
  5. Step 5: Solve for x
    x = 39,007,830,767.64/279,898.10
  6. Step 6: Final answer
    x = 139,364.40

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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.