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Finding the Fourth Proportional to 491,871.72, 677,353.68 and 427,311.48

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Solution

The fourth proportional to 491,871.72, 677,353.68 and 427,311.48 is: 588,448.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,871.72 : 677,353.68 = 427,311.48 : x
  2. Step 2: Convert to fraction form
    491,871.72/677,353.68 = 427,311.48/x
  3. Step 3: Cross multiply
    491,871.72x = 677,353.68 × 427,311.48
  4. Step 4: Simplify right side
    491,871.72x = 289,441,003,484.25
  5. Step 5: Solve for x
    x = 289,441,003,484.25/491,871.72
  6. Step 6: Final answer
    x = 588,448.15

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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.