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Finding the Fourth Proportional to 671,904, 1,007,856 and 277,920

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Solution

The fourth proportional to 671,904, 1,007,856 and 277,920 is: 416,880

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,904 : 1,007,856 = 277,920 : x
  2. Step 2: Convert to fraction form
    671,904/1,007,856 = 277,920/x
  3. Step 3: Cross multiply
    671,904x = 1,007,856 × 277,920
  4. Step 4: Simplify right side
    671,904x = 280,103,339,520
  5. Step 5: Solve for x
    x = 280,103,339,520/671,904
  6. Step 6: Final answer
    x = 416,880

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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.