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Finding the Fourth Proportional to 225,864.50, 311,749.65 and 153,390.02

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Solution

The fourth proportional to 225,864.50, 311,749.65 and 153,390.02 is: 211,716.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,864.50 : 311,749.65 = 153,390.02 : x
  2. Step 2: Convert to fraction form
    225,864.50/311,749.65 = 153,390.02/x
  3. Step 3: Cross multiply
    225,864.50x = 311,749.65 × 153,390.02
  4. Step 4: Simplify right side
    225,864.50x = 47,819,283,489.74
  5. Step 5: Solve for x
    x = 47,819,283,489.74/225,864.50
  6. Step 6: Final answer
    x = 211,716.69

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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.