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Finding the Fourth Proportional to 561,710.42, 775,165.07 and 319,989.21

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Solution

The fourth proportional to 561,710.42, 775,165.07 and 319,989.21 is: 441,587.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,710.42 : 775,165.07 = 319,989.21 : x
  2. Step 2: Convert to fraction form
    561,710.42/775,165.07 = 319,989.21/x
  3. Step 3: Cross multiply
    561,710.42x = 775,165.07 × 319,989.21
  4. Step 4: Simplify right side
    561,710.42x = 248,044,459,168.87
  5. Step 5: Solve for x
    x = 248,044,459,168.87/561,710.42
  6. Step 6: Final answer
    x = 441,587.78

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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.