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Finding the Fourth Proportional to 561,221.23, 774,502.31 and 306,588.82

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Solution

The fourth proportional to 561,221.23, 774,502.31 and 306,588.82 is: 423,101.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,221.23 : 774,502.31 = 306,588.82 : x
  2. Step 2: Convert to fraction form
    561,221.23/774,502.31 = 306,588.82/x
  3. Step 3: Cross multiply
    561,221.23x = 774,502.31 × 306,588.82
  4. Step 4: Simplify right side
    561,221.23x = 237,453,749,310.17
  5. Step 5: Solve for x
    x = 237,453,749,310.17/561,221.23
  6. Step 6: Final answer
    x = 423,101.87

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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.