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Finding the Fourth Proportional to 250,284, 345,338.16 and 148,341.36

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Solution

The fourth proportional to 250,284, 345,338.16 and 148,341.36 is: 204,679.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,284 : 345,338.16 = 148,341.36 : x
  2. Step 2: Convert to fraction form
    250,284/345,338.16 = 148,341.36/x
  3. Step 3: Cross multiply
    250,284x = 345,338.16 × 148,341.36
  4. Step 4: Simplify right side
    250,284x = 51,227,932,314.30
  5. Step 5: Solve for x
    x = 51,227,932,314.30/250,284
  6. Step 6: Final answer
    x = 204,679.21

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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.