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Finding the Fourth Proportional to 429,781.67, 644,671.80 and 114,238.58

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Solution

The fourth proportional to 429,781.67, 644,671.80 and 114,238.58 is: 171,357.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,781.67 : 644,671.80 = 114,238.58 : x
  2. Step 2: Convert to fraction form
    429,781.67/644,671.80 = 114,238.58/x
  3. Step 3: Cross multiply
    429,781.67x = 644,671.80 × 114,238.58
  4. Step 4: Simplify right side
    429,781.67x = 73,646,390,998.04
  5. Step 5: Solve for x
    x = 73,646,390,998.04/429,781.67
  6. Step 6: Final answer
    x = 171,357.68

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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.