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Finding the Fourth Proportional to 429,249.71, 643,940.33 and 140,970.65

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Solution

The fourth proportional to 429,249.71, 643,940.33 and 140,970.65 is: 211,477.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,249.71 : 643,940.33 = 140,970.65 : x
  2. Step 2: Convert to fraction form
    429,249.71/643,940.33 = 140,970.65/x
  3. Step 3: Cross multiply
    429,249.71x = 643,940.33 × 140,970.65
  4. Step 4: Simplify right side
    429,249.71x = 90,776,682,956.76
  5. Step 5: Solve for x
    x = 90,776,682,956.76/429,249.71
  6. Step 6: Final answer
    x = 211,477.56

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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.