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Finding the Fourth Proportional to 302,116.32, 416,940.90 and 199,965.78

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Solution

The fourth proportional to 302,116.32, 416,940.90 and 199,965.78 is: 275,966.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,116.32 : 416,940.90 = 199,965.78 : x
  2. Step 2: Convert to fraction form
    302,116.32/416,940.90 = 199,965.78/x
  3. Step 3: Cross multiply
    302,116.32x = 416,940.90 × 199,965.78
  4. Step 4: Simplify right side
    302,116.32x = 83,373,912,282.40
  5. Step 5: Solve for x
    x = 83,373,912,282.40/302,116.32
  6. Step 6: Final answer
    x = 275,966.26

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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.