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Finding the Fourth Proportional to 313,383.82, 432,480.02 and 177,415

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Solution

The fourth proportional to 313,383.82, 432,480.02 and 177,415 is: 244,838.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,383.82 : 432,480.02 = 177,415 : x
  2. Step 2: Convert to fraction form
    313,383.82/432,480.02 = 177,415/x
  3. Step 3: Cross multiply
    313,383.82x = 432,480.02 × 177,415
  4. Step 4: Simplify right side
    313,383.82x = 76,728,442,748.30
  5. Step 5: Solve for x
    x = 76,728,442,748.30/313,383.82
  6. Step 6: Final answer
    x = 244,838.56

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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.