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Finding the Fourth Proportional to 225,188.56, 311,129.16 and 177,802.96

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Solution

The fourth proportional to 225,188.56, 311,129.16 and 177,802.96 is: 245,659.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,188.56 : 311,129.16 = 177,802.96 : x
  2. Step 2: Convert to fraction form
    225,188.56/311,129.16 = 177,802.96/x
  3. Step 3: Cross multiply
    225,188.56x = 311,129.16 × 177,802.96
  4. Step 4: Simplify right side
    225,188.56x = 55,319,685,590.31
  5. Step 5: Solve for x
    x = 55,319,685,590.31/225,188.56
  6. Step 6: Final answer
    x = 245,659.40

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1.5x scale

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.