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Finding the Fourth Proportional to 429,781.12, 644,670.78 and 114,238

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Solution

The fourth proportional to 429,781.12, 644,670.78 and 114,238 is: 171,356.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,781.12 : 644,670.78 = 114,238 : x
  2. Step 2: Convert to fraction form
    429,781.12/644,670.78 = 114,238/x
  3. Step 3: Cross multiply
    429,781.12x = 644,670.78 × 114,238
  4. Step 4: Simplify right side
    429,781.12x = 73,645,900,565.64
  5. Step 5: Solve for x
    x = 73,645,900,565.64/429,781.12
  6. Step 6: Final answer
    x = 171,356.76

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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.