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Finding the Fourth Proportional to 375,175, 517,790.92 and 213,993.12

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Solution

The fourth proportional to 375,175, 517,790.92 and 213,993.12 is: 295,338.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,175 : 517,790.92 = 213,993.12 : x
  2. Step 2: Convert to fraction form
    375,175/517,790.92 = 213,993.12/x
  3. Step 3: Cross multiply
    375,175x = 517,790.92 × 213,993.12
  4. Step 4: Simplify right side
    375,175x = 110,803,694,478.47
  5. Step 5: Solve for x
    x = 110,803,694,478.47/375,175
  6. Step 6: Final answer
    x = 295,338.69

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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.