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Finding the Fourth Proportional to 429,777.78, 644,795.46 and 173,478.39

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Solution

The fourth proportional to 429,777.78, 644,795.46 and 173,478.39 is: 260,269.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,777.78 : 644,795.46 = 173,478.39 : x
  2. Step 2: Convert to fraction form
    429,777.78/644,795.46 = 173,478.39/x
  3. Step 3: Cross multiply
    429,777.78x = 644,795.46 × 173,478.39
  4. Step 4: Simplify right side
    429,777.78x = 111,858,078,280.11
  5. Step 5: Solve for x
    x = 111,858,078,280.11/429,777.78
  6. Step 6: Final answer
    x = 260,269.57

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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.