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Finding the Fourth Proportional to 429,474.30, 644,003.85 and 159,416.22

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Solution

The fourth proportional to 429,474.30, 644,003.85 and 159,416.22 is: 239,047.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,474.30 : 644,003.85 = 159,416.22 : x
  2. Step 2: Convert to fraction form
    429,474.30/644,003.85 = 159,416.22/x
  3. Step 3: Cross multiply
    429,474.30x = 644,003.85 × 159,416.22
  4. Step 4: Simplify right side
    429,474.30x = 102,664,659,432.45
  5. Step 5: Solve for x
    x = 102,664,659,432.45/429,474.30
  6. Step 6: Final answer
    x = 239,047.27

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1.5x scale

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.