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Finding the Fourth Proportional to 225,421.64, 338,303.78 and 83,401.32

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Solution

The fourth proportional to 225,421.64, 338,303.78 and 83,401.32 is: 125,165.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,421.64 : 338,303.78 = 83,401.32 : x
  2. Step 2: Convert to fraction form
    225,421.64/338,303.78 = 83,401.32/x
  3. Step 3: Cross multiply
    225,421.64x = 338,303.78 × 83,401.32
  4. Step 4: Simplify right side
    225,421.64x = 28,214,981,812.99
  5. Step 5: Solve for x
    x = 28,214,981,812.99/225,421.64
  6. Step 6: Final answer
    x = 125,165.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.