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Finding the Fourth Proportional to 280,632.46, 420,686.25 and 103,091.80

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Solution

The fourth proportional to 280,632.46, 420,686.25 and 103,091.80 is: 154,541.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,632.46 : 420,686.25 = 103,091.80 : x
  2. Step 2: Convert to fraction form
    280,632.46/420,686.25 = 103,091.80/x
  3. Step 3: Cross multiply
    280,632.46x = 420,686.25 × 103,091.80
  4. Step 4: Simplify right side
    280,632.46x = 43,369,302,747.75
  5. Step 5: Solve for x
    x = 43,369,302,747.75/280,632.46
  6. Step 6: Final answer
    x = 154,541.29

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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.