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Finding the Fourth Proportional to 429,764.59, 644,724.74 and 141,591.63

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Solution

The fourth proportional to 429,764.59, 644,724.74 and 141,591.63 is: 212,413.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,764.59 : 644,724.74 = 141,591.63 : x
  2. Step 2: Convert to fraction form
    429,764.59/644,724.74 = 141,591.63/x
  3. Step 3: Cross multiply
    429,764.59x = 644,724.74 × 141,591.63
  4. Step 4: Simplify right side
    429,764.59x = 91,287,629,100.73
  5. Step 5: Solve for x
    x = 91,287,629,100.73/429,764.59
  6. Step 6: Final answer
    x = 212,413.10

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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.