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Finding the Fourth Proportional to 412,998.69, 619,366.75 and 280,728.93

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Solution

The fourth proportional to 412,998.69, 619,366.75 and 280,728.93 is: 421,004.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,998.69 : 619,366.75 = 280,728.93 : x
  2. Step 2: Convert to fraction form
    412,998.69/619,366.75 = 280,728.93/x
  3. Step 3: Cross multiply
    412,998.69x = 619,366.75 × 280,728.93
  4. Step 4: Simplify right side
    412,998.69x = 173,874,165,005.08
  5. Step 5: Solve for x
    x = 173,874,165,005.08/412,998.69
  6. Step 6: Final answer
    x = 421,004.16

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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.