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Finding the Fourth Proportional to 429,967.91, 644,949.84 and 110,119.16

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Solution

The fourth proportional to 429,967.91, 644,949.84 and 110,119.16 is: 165,178.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,967.91 : 644,949.84 = 110,119.16 : x
  2. Step 2: Convert to fraction form
    429,967.91/644,949.84 = 110,119.16/x
  3. Step 3: Cross multiply
    429,967.91x = 644,949.84 × 110,119.16
  4. Step 4: Simplify right side
    429,967.91x = 71,021,334,622.93
  5. Step 5: Solve for x
    x = 71,021,334,622.93/429,967.91
  6. Step 6: Final answer
    x = 165,178.22

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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.