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Finding the Fourth Proportional to 225,470.54, 310,999.50 and 144,999.86

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Solution

The fourth proportional to 225,470.54, 310,999.50 and 144,999.86 is: 200,003.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,470.54 : 310,999.50 = 144,999.86 : x
  2. Step 2: Convert to fraction form
    225,470.54/310,999.50 = 144,999.86/x
  3. Step 3: Cross multiply
    225,470.54x = 310,999.50 × 144,999.86
  4. Step 4: Simplify right side
    225,470.54x = 45,094,883,960.07
  5. Step 5: Solve for x
    x = 45,094,883,960.07/225,470.54
  6. Step 6: Final answer
    x = 200,003.44

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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.