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Finding the Fourth Proportional to 429,781.62, 644,671.53 and 114,238.50

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Solution

The fourth proportional to 429,781.62, 644,671.53 and 114,238.50 is: 171,357.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,781.62 : 644,671.53 = 114,238.50 : x
  2. Step 2: Convert to fraction form
    429,781.62/644,671.53 = 114,238.50/x
  3. Step 3: Cross multiply
    429,781.62x = 644,671.53 × 114,238.50
  4. Step 4: Simplify right side
    429,781.62x = 73,646,308,579.91
  5. Step 5: Solve for x
    x = 73,646,308,579.91/429,781.62
  6. Step 6: Final answer
    x = 171,357.51

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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.