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Finding the Fourth Proportional to 561,311.84, 774,611.07 and 319,594.52

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Solution

The fourth proportional to 561,311.84, 774,611.07 and 319,594.52 is: 441,040.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,311.84 : 774,611.07 = 319,594.52 : x
  2. Step 2: Convert to fraction form
    561,311.84/774,611.07 = 319,594.52/x
  3. Step 3: Cross multiply
    561,311.84x = 774,611.07 × 319,594.52
  4. Step 4: Simplify right side
    561,311.84x = 247,561,455,039.86
  5. Step 5: Solve for x
    x = 247,561,455,039.86/561,311.84
  6. Step 6: Final answer
    x = 441,040.86

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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.