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Finding the Fourth Proportional to 429,448.83, 644,169.12 and 261,015.63

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Solution

The fourth proportional to 429,448.83, 644,169.12 and 261,015.63 is: 391,520.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,448.83 : 644,169.12 = 261,015.63 : x
  2. Step 2: Convert to fraction form
    429,448.83/644,169.12 = 261,015.63/x
  3. Step 3: Cross multiply
    429,448.83x = 644,169.12 × 261,015.63
  4. Step 4: Simplify right side
    429,448.83x = 168,138,208,683.35
  5. Step 5: Solve for x
    x = 168,138,208,683.35/429,448.83
  6. Step 6: Final answer
    x = 391,520.94

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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.