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Finding the Fourth Proportional to 476,829.72, 658,314 and 315,822.78

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Solution

The fourth proportional to 476,829.72, 658,314 and 315,822.78 is: 436,026.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,829.72 : 658,314 = 315,822.78 : x
  2. Step 2: Convert to fraction form
    476,829.72/658,314 = 315,822.78/x
  3. Step 3: Cross multiply
    476,829.72x = 658,314 × 315,822.78
  4. Step 4: Simplify right side
    476,829.72x = 207,910,557,592.92
  5. Step 5: Solve for x
    x = 207,910,557,592.92/476,829.72
  6. Step 6: Final answer
    x = 436,026.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.