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Finding the Fourth Proportional to 280,009.32, 419,926.50 and 122,195.40

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Solution

The fourth proportional to 280,009.32, 419,926.50 and 122,195.40 is: 183,254.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,009.32 : 419,926.50 = 122,195.40 : x
  2. Step 2: Convert to fraction form
    280,009.32/419,926.50 = 122,195.40/x
  3. Step 3: Cross multiply
    280,009.32x = 419,926.50 × 122,195.40
  4. Step 4: Simplify right side
    280,009.32x = 51,313,086,638.10
  5. Step 5: Solve for x
    x = 51,313,086,638.10/280,009.32
  6. Step 6: Final answer
    x = 183,254.92

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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.