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Finding the Fourth Proportional to 225,225.74, 310,811.64 and 140,343.14

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Solution

The fourth proportional to 225,225.74, 310,811.64 and 140,343.14 is: 193,673.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,225.74 : 310,811.64 = 140,343.14 : x
  2. Step 2: Convert to fraction form
    225,225.74/310,811.64 = 140,343.14/x
  3. Step 3: Cross multiply
    225,225.74x = 310,811.64 × 140,343.14
  4. Step 4: Simplify right side
    225,225.74x = 43,620,281,506.15
  5. Step 5: Solve for x
    x = 43,620,281,506.15/225,225.74
  6. Step 6: Final answer
    x = 193,673.61

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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.