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Finding the Fourth Proportional to 561,520.48, 774,897 and 319,803.04

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Solution

The fourth proportional to 561,520.48, 774,897 and 319,803.04 is: 441,327.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,520.48 : 774,897 = 319,803.04 : x
  2. Step 2: Convert to fraction form
    561,520.48/774,897 = 319,803.04/x
  3. Step 3: Cross multiply
    561,520.48x = 774,897 × 319,803.04
  4. Step 4: Simplify right side
    561,520.48x = 247,814,416,286.88
  5. Step 5: Solve for x
    x = 247,814,416,286.88/561,520.48
  6. Step 6: Final answer
    x = 441,327.48

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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.