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Finding the Fourth Proportional to 313,272, 432,341.28 and 179,161.92

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Solution

The fourth proportional to 313,272, 432,341.28 and 179,161.92 is: 247,258.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,272 : 432,341.28 = 179,161.92 : x
  2. Step 2: Convert to fraction form
    313,272/432,341.28 = 179,161.92/x
  3. Step 3: Cross multiply
    313,272x = 432,341.28 × 179,161.92
  4. Step 4: Simplify right side
    313,272x = 77,459,093,820.06
  5. Step 5: Solve for x
    x = 77,459,093,820.06/313,272
  6. Step 6: Final answer
    x = 247,258.27

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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.