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Finding the Fourth Proportional to 280,342.83, 420,578.65 and 80,664.87

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Solution

The fourth proportional to 280,342.83, 420,578.65 and 80,664.87 is: 121,015.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,342.83 : 420,578.65 = 80,664.87 : x
  2. Step 2: Convert to fraction form
    280,342.83/420,578.65 = 80,664.87/x
  3. Step 3: Cross multiply
    280,342.83x = 420,578.65 × 80,664.87
  4. Step 4: Simplify right side
    280,342.83x = 33,925,921,925.36
  5. Step 5: Solve for x
    x = 33,925,921,925.36/280,342.83
  6. Step 6: Final answer
    x = 121,015.84

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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.