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Finding the Fourth Proportional to 429,351.60, 644,027.40 and 109,502.85

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Solution

The fourth proportional to 429,351.60, 644,027.40 and 109,502.85 is: 164,254.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,351.60 : 644,027.40 = 109,502.85 : x
  2. Step 2: Convert to fraction form
    429,351.60/644,027.40 = 109,502.85/x
  3. Step 3: Cross multiply
    429,351.60x = 644,027.40 × 109,502.85
  4. Step 4: Simplify right side
    429,351.60x = 70,522,835,778.09
  5. Step 5: Solve for x
    x = 70,522,835,778.09/429,351.60
  6. Step 6: Final answer
    x = 164,254.28

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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.