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Finding the Fourth Proportional to 314,726.86, 434,310.87 and 171,487.97

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Solution

The fourth proportional to 314,726.86, 434,310.87 and 171,487.97 is: 236,646.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,726.86 : 434,310.87 = 171,487.97 : x
  2. Step 2: Convert to fraction form
    314,726.86/434,310.87 = 171,487.97/x
  3. Step 3: Cross multiply
    314,726.86x = 434,310.87 × 171,487.97
  4. Step 4: Simplify right side
    314,726.86x = 74,479,089,445.23
  5. Step 5: Solve for x
    x = 74,479,089,445.23/314,726.86
  6. Step 6: Final answer
    x = 236,646.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.