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Finding the Fourth Proportional to 429,338.65, 644,010.20 and 251,721.10

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Solution

The fourth proportional to 429,338.65, 644,010.20 and 251,721.10 is: 377,582.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,338.65 : 644,010.20 = 251,721.10 : x
  2. Step 2: Convert to fraction form
    429,338.65/644,010.20 = 251,721.10/x
  3. Step 3: Cross multiply
    429,338.65x = 644,010.20 × 251,721.10
  4. Step 4: Simplify right side
    429,338.65x = 162,110,955,955.22
  5. Step 5: Solve for x
    x = 162,110,955,955.22/429,338.65
  6. Step 6: Final answer
    x = 377,582.95

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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.