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Finding the Fourth Proportional to 564,420.75, 779,049.96 and 349,438.65

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Solution

The fourth proportional to 564,420.75, 779,049.96 and 349,438.65 is: 482,317.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,420.75 : 779,049.96 = 349,438.65 : x
  2. Step 2: Convert to fraction form
    564,420.75/779,049.96 = 349,438.65/x
  3. Step 3: Cross multiply
    564,420.75x = 779,049.96 × 349,438.65
  4. Step 4: Simplify right side
    564,420.75x = 272,230,166,304.95
  5. Step 5: Solve for x
    x = 272,230,166,304.95/564,420.75
  6. Step 6: Final answer
    x = 482,317.79

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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.