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Finding the Fourth Proportional to 564,902.56, 779,603.70 and 310,256.38

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Solution

The fourth proportional to 564,902.56, 779,603.70 and 310,256.38 is: 428,174.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,902.56 : 779,603.70 = 310,256.38 : x
  2. Step 2: Convert to fraction form
    564,902.56/779,603.70 = 310,256.38/x
  3. Step 3: Cross multiply
    564,902.56x = 779,603.70 × 310,256.38
  4. Step 4: Simplify right side
    564,902.56x = 241,877,021,796.61
  5. Step 5: Solve for x
    x = 241,877,021,796.61/564,902.56
  6. Step 6: Final answer
    x = 428,174.77

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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.