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Finding the Fourth Proportional to 429,534.60, 644,301.90 and 419,693.10

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Solution

The fourth proportional to 429,534.60, 644,301.90 and 419,693.10 is: 629,539.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,534.60 : 644,301.90 = 419,693.10 : x
  2. Step 2: Convert to fraction form
    429,534.60/644,301.90 = 419,693.10/x
  3. Step 3: Cross multiply
    429,534.60x = 644,301.90 × 419,693.10
  4. Step 4: Simplify right side
    429,534.60x = 270,409,061,746.89
  5. Step 5: Solve for x
    x = 270,409,061,746.89/429,534.60
  6. Step 6: Final answer
    x = 629,539.65

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Similar ratio
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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.