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Finding the Fourth Proportional to 429,749.52, 644,624.24 and 134,261.52

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Solution

The fourth proportional to 429,749.52, 644,624.24 and 134,261.52 is: 201,392.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,749.52 : 644,624.24 = 134,261.52 : x
  2. Step 2: Convert to fraction form
    429,749.52/644,624.24 = 134,261.52/x
  3. Step 3: Cross multiply
    429,749.52x = 644,624.24 × 134,261.52
  4. Step 4: Simplify right side
    429,749.52x = 86,548,230,291.24
  5. Step 5: Solve for x
    x = 86,548,230,291.24/429,749.52
  6. Step 6: Final answer
    x = 201,392.27

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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.