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Finding the Fourth Proportional to 564,902.84, 779,567.82 and 310,247.48

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Solution

The fourth proportional to 564,902.84, 779,567.82 and 310,247.48 is: 428,142.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,902.84 : 779,567.82 = 310,247.48 : x
  2. Step 2: Convert to fraction form
    564,902.84/779,567.82 = 310,247.48/x
  3. Step 3: Cross multiply
    564,902.84x = 779,567.82 × 310,247.48
  4. Step 4: Simplify right side
    564,902.84x = 241,858,951,644.09
  5. Step 5: Solve for x
    x = 241,858,951,644.09/564,902.84
  6. Step 6: Final answer
    x = 428,142.57

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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.