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Finding the Fourth Proportional to 561,136.56, 774,408 and 319,419.24

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Solution

The fourth proportional to 561,136.56, 774,408 and 319,419.24 is: 440,821.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,136.56 : 774,408 = 319,419.24 : x
  2. Step 2: Convert to fraction form
    561,136.56/774,408 = 319,419.24/x
  3. Step 3: Cross multiply
    561,136.56x = 774,408 × 319,419.24
  4. Step 4: Simplify right side
    561,136.56x = 247,360,814,809.92
  5. Step 5: Solve for x
    x = 247,360,814,809.92/561,136.56
  6. Step 6: Final answer
    x = 440,821.06

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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.