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Finding the Fourth Proportional to 564,644.31, 779,214.75 and 306,523.26

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Solution

The fourth proportional to 564,644.31, 779,214.75 and 306,523.26 is: 423,005.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,644.31 : 779,214.75 = 306,523.26 : x
  2. Step 2: Convert to fraction form
    564,644.31/779,214.75 = 306,523.26/x
  3. Step 3: Cross multiply
    564,644.31x = 779,214.75 × 306,523.26
  4. Step 4: Simplify right side
    564,644.31x = 238,847,445,410.09
  5. Step 5: Solve for x
    x = 238,847,445,410.09/564,644.31
  6. Step 6: Final answer
    x = 423,005.14

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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.