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Finding the Fourth Proportional to 347,904, 521,856 and 85,248

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Solution

The fourth proportional to 347,904, 521,856 and 85,248 is: 127,872

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,904 : 521,856 = 85,248 : x
  2. Step 2: Convert to fraction form
    347,904/521,856 = 85,248/x
  3. Step 3: Cross multiply
    347,904x = 521,856 × 85,248
  4. Step 4: Simplify right side
    347,904x = 44,487,180,288
  5. Step 5: Solve for x
    x = 44,487,180,288/347,904
  6. Step 6: Final answer
    x = 127,872

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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.