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Finding the Fourth Proportional to 564,815, 779,444.70 and 310,170.44

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Solution

The fourth proportional to 564,815, 779,444.70 and 310,170.44 is: 428,035.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,815 : 779,444.70 = 310,170.44 : x
  2. Step 2: Convert to fraction form
    564,815/779,444.70 = 310,170.44/x
  3. Step 3: Cross multiply
    564,815x = 779,444.70 × 310,170.44
  4. Step 4: Simplify right side
    564,815x = 241,760,705,554.67
  5. Step 5: Solve for x
    x = 241,760,705,554.67/564,815
  6. Step 6: Final answer
    x = 428,035.21

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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.