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Finding the Fourth Proportional to 314,976.16, 434,657.64 and 171,739

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Solution

The fourth proportional to 314,976.16, 434,657.64 and 171,739 is: 236,994.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,976.16 : 434,657.64 = 171,739 : x
  2. Step 2: Convert to fraction form
    314,976.16/434,657.64 = 171,739/x
  3. Step 3: Cross multiply
    314,976.16x = 434,657.64 × 171,739
  4. Step 4: Simplify right side
    314,976.16x = 74,647,668,435.96
  5. Step 5: Solve for x
    x = 74,647,668,435.96/314,976.16
  6. Step 6: Final answer
    x = 236,994.66

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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.