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Finding the Fourth Proportional to 225,286.20, 310,684.20 and 152,699.64

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Solution

The fourth proportional to 225,286.20, 310,684.20 and 152,699.64 is: 210,582.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,286.20 : 310,684.20 = 152,699.64 : x
  2. Step 2: Convert to fraction form
    225,286.20/310,684.20 = 152,699.64/x
  3. Step 3: Cross multiply
    225,286.20x = 310,684.20 × 152,699.64
  4. Step 4: Simplify right side
    225,286.20x = 47,441,365,493.69
  5. Step 5: Solve for x
    x = 47,441,365,493.69/225,286.20
  6. Step 6: Final answer
    x = 210,582.65

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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.