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Finding the Fourth Proportional to 429,338.86, 644,010.51 and 251,721.32

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Solution

The fourth proportional to 429,338.86, 644,010.51 and 251,721.32 is: 377,583.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,338.86 : 644,010.51 = 251,721.32 : x
  2. Step 2: Convert to fraction form
    429,338.86/644,010.51 = 251,721.32/x
  3. Step 3: Cross multiply
    429,338.86x = 644,010.51 × 251,721.32
  4. Step 4: Simplify right side
    429,338.86x = 162,111,173,394.98
  5. Step 5: Solve for x
    x = 162,111,173,394.98/429,338.86
  6. Step 6: Final answer
    x = 377,583.28

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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.