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Finding the Fourth Proportional to 280,135.04, 420,288.16 and 167,940.16

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Solution

The fourth proportional to 280,135.04, 420,288.16 and 167,940.16 is: 251,961.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,135.04 : 420,288.16 = 167,940.16 : x
  2. Step 2: Convert to fraction form
    280,135.04/420,288.16 = 167,940.16/x
  3. Step 3: Cross multiply
    280,135.04x = 420,288.16 × 167,940.16
  4. Step 4: Simplify right side
    280,135.04x = 70,583,260,836.51
  5. Step 5: Solve for x
    x = 70,583,260,836.51/280,135.04
  6. Step 6: Final answer
    x = 251,961.56

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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.