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Finding the Fourth Proportional to 488,274, 673,761.40 and 284,369.48

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Solution

The fourth proportional to 488,274, 673,761.40 and 284,369.48 is: 392,396.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,274 : 673,761.40 = 284,369.48 : x
  2. Step 2: Convert to fraction form
    488,274/673,761.40 = 284,369.48/x
  3. Step 3: Cross multiply
    488,274x = 673,761.40 × 284,369.48
  4. Step 4: Simplify right side
    488,274x = 191,597,178,962.07
  5. Step 5: Solve for x
    x = 191,597,178,962.07/488,274
  6. Step 6: Final answer
    x = 392,396.85

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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.