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Finding the Fourth Proportional to 314,978.70, 434,707.50 and 179,033.08

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Solution

The fourth proportional to 314,978.70, 434,707.50 and 179,033.08 is: 247,086.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,978.70 : 434,707.50 = 179,033.08 : x
  2. Step 2: Convert to fraction form
    314,978.70/434,707.50 = 179,033.08/x
  3. Step 3: Cross multiply
    314,978.70x = 434,707.50 × 179,033.08
  4. Step 4: Simplify right side
    314,978.70x = 77,827,022,624.10
  5. Step 5: Solve for x
    x = 77,827,022,624.10/314,978.70
  6. Step 6: Final answer
    x = 247,086.62

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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.