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Finding the Fourth Proportional to 564,933.88, 779,419 and 319,885.26

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Solution

The fourth proportional to 564,933.88, 779,419 and 319,885.26 is: 441,334.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,933.88 : 779,419 = 319,885.26 : x
  2. Step 2: Convert to fraction form
    564,933.88/779,419 = 319,885.26/x
  3. Step 3: Cross multiply
    564,933.88x = 779,419 × 319,885.26
  4. Step 4: Simplify right side
    564,933.88x = 249,324,649,463.94
  5. Step 5: Solve for x
    x = 249,324,649,463.94/564,933.88
  6. Step 6: Final answer
    x = 441,334.21

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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.