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Finding the Fourth Proportional to 277,276.70, 382,642.99 and 149,952.29

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Solution

The fourth proportional to 277,276.70, 382,642.99 and 149,952.29 is: 206,934.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,276.70 : 382,642.99 = 149,952.29 : x
  2. Step 2: Convert to fraction form
    277,276.70/382,642.99 = 149,952.29/x
  3. Step 3: Cross multiply
    277,276.70x = 382,642.99 × 149,952.29
  4. Step 4: Simplify right side
    277,276.70x = 57,378,192,602.95
  5. Step 5: Solve for x
    x = 57,378,192,602.95/277,276.70
  6. Step 6: Final answer
    x = 206,934.78

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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.