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Finding the Fourth Proportional to 356,159.97, 491,514 and 203,223.06

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Solution

The fourth proportional to 356,159.97, 491,514 and 203,223.06 is: 280,455.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,159.97 : 491,514 = 203,223.06 : x
  2. Step 2: Convert to fraction form
    356,159.97/491,514 = 203,223.06/x
  3. Step 3: Cross multiply
    356,159.97x = 491,514 × 203,223.06
  4. Step 4: Simplify right side
    356,159.97x = 99,886,979,112.84
  5. Step 5: Solve for x
    x = 99,886,979,112.84/356,159.97
  6. Step 6: Final answer
    x = 280,455.38

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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.