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Finding the Fourth Proportional to 561,198.48, 774,434.28 and 334,726.80

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Solution

The fourth proportional to 561,198.48, 774,434.28 and 334,726.80 is: 461,911.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,198.48 : 774,434.28 = 334,726.80 : x
  2. Step 2: Convert to fraction form
    561,198.48/774,434.28 = 334,726.80/x
  3. Step 3: Cross multiply
    561,198.48x = 774,434.28 × 334,726.80
  4. Step 4: Simplify right side
    561,198.48x = 259,223,908,354.70
  5. Step 5: Solve for x
    x = 259,223,908,354.70/561,198.48
  6. Step 6: Final answer
    x = 461,911.28

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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.