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Finding the Fourth Proportional to 280,563.63, 420,904.56 and 91,009.20

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Solution

The fourth proportional to 280,563.63, 420,904.56 and 91,009.20 is: 136,532.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,563.63 : 420,904.56 = 91,009.20 : x
  2. Step 2: Convert to fraction form
    280,563.63/420,904.56 = 91,009.20/x
  3. Step 3: Cross multiply
    280,563.63x = 420,904.56 × 91,009.20
  4. Step 4: Simplify right side
    280,563.63x = 38,306,187,505.91
  5. Step 5: Solve for x
    x = 38,306,187,505.91/280,563.63
  6. Step 6: Final answer
    x = 136,532.97

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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.