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Finding the Fourth Proportional to 561,396.92, 774,726.95 and 319,679.48

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Solution

The fourth proportional to 561,396.92, 774,726.95 and 319,679.48 is: 441,157.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,396.92 : 774,726.95 = 319,679.48 : x
  2. Step 2: Convert to fraction form
    561,396.92/774,726.95 = 319,679.48/x
  3. Step 3: Cross multiply
    561,396.92x = 774,726.95 × 319,679.48
  4. Step 4: Simplify right side
    561,396.92x = 247,664,311,254.00
  5. Step 5: Solve for x
    x = 247,664,311,254.00/561,396.92
  6. Step 6: Final answer
    x = 441,157.24

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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.