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Finding the Fourth Proportional to 314,879.16, 434,524.59 and 171,642

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Solution

The fourth proportional to 314,879.16, 434,524.59 and 171,642 is: 236,861.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,879.16 : 434,524.59 = 171,642 : x
  2. Step 2: Convert to fraction form
    314,879.16/434,524.59 = 171,642/x
  3. Step 3: Cross multiply
    314,879.16x = 434,524.59 × 171,642
  4. Step 4: Simplify right side
    314,879.16x = 74,582,669,676.78
  5. Step 5: Solve for x
    x = 74,582,669,676.78/314,879.16
  6. Step 6: Final answer
    x = 236,861.24

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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.