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Finding the Fourth Proportional to 225,224.40, 310,817.64 and 123,247.86

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Solution

The fourth proportional to 225,224.40, 310,817.64 and 123,247.86 is: 170,086.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,224.40 : 310,817.64 = 123,247.86 : x
  2. Step 2: Convert to fraction form
    225,224.40/310,817.64 = 123,247.86/x
  3. Step 3: Cross multiply
    225,224.40x = 310,817.64 × 123,247.86
  4. Step 4: Simplify right side
    225,224.40x = 38,307,608,980.25
  5. Step 5: Solve for x
    x = 38,307,608,980.25/225,224.40
  6. Step 6: Final answer
    x = 170,086.41

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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.