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Finding the Fourth Proportional to 313,409.64, 432,512.82 and 170,175.72

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Solution

The fourth proportional to 313,409.64, 432,512.82 and 170,175.72 is: 234,846.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,409.64 : 432,512.82 = 170,175.72 : x
  2. Step 2: Convert to fraction form
    313,409.64/432,512.82 = 170,175.72/x
  3. Step 3: Cross multiply
    313,409.64x = 432,512.82 × 170,175.72
  4. Step 4: Simplify right side
    313,409.64x = 73,603,180,552.73
  5. Step 5: Solve for x
    x = 73,603,180,552.73/313,409.64
  6. Step 6: Final answer
    x = 234,846.58

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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.