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Finding the Fourth Proportional to 429,477.90, 644,216.16 and 109,629.74

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Solution

The fourth proportional to 429,477.90, 644,216.16 and 109,629.74 is: 164,444.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,477.90 : 644,216.16 = 109,629.74 : x
  2. Step 2: Convert to fraction form
    429,477.90/644,216.16 = 109,629.74/x
  3. Step 3: Cross multiply
    429,477.90x = 644,216.16 × 109,629.74
  4. Step 4: Simplify right side
    429,477.90x = 70,625,250,124.60
  5. Step 5: Solve for x
    x = 70,625,250,124.60/429,477.90
  6. Step 6: Final answer
    x = 164,444.43

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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.