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Finding the Fourth Proportional to 429,349.76, 644,286.72 and 271,360.64

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Solution

The fourth proportional to 429,349.76, 644,286.72 and 271,360.64 is: 407,206.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,349.76 : 644,286.72 = 271,360.64 : x
  2. Step 2: Convert to fraction form
    429,349.76/644,286.72 = 271,360.64/x
  3. Step 3: Cross multiply
    429,349.76x = 644,286.72 × 271,360.64
  4. Step 4: Simplify right side
    429,349.76x = 174,834,056,682.70
  5. Step 5: Solve for x
    x = 174,834,056,682.70/429,349.76
  6. Step 6: Final answer
    x = 407,206.60

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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.