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Finding the Fourth Proportional to 280,198.86, 417,830.54 and 277,671.66

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Solution

The fourth proportional to 280,198.86, 417,830.54 and 277,671.66 is: 414,061.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,198.86 : 417,830.54 = 277,671.66 : x
  2. Step 2: Convert to fraction form
    280,198.86/417,830.54 = 277,671.66/x
  3. Step 3: Cross multiply
    280,198.86x = 417,830.54 × 277,671.66
  4. Step 4: Simplify right side
    280,198.86x = 116,019,698,252.14
  5. Step 5: Solve for x
    x = 116,019,698,252.14/280,198.86
  6. Step 6: Final answer
    x = 414,061.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.