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Finding the Fourth Proportional to 564,764.60, 779,381.80 and 306,644.64

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Solution

The fourth proportional to 564,764.60, 779,381.80 and 306,644.64 is: 423,173.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,764.60 : 779,381.80 = 306,644.64 : x
  2. Step 2: Convert to fraction form
    564,764.60/779,381.80 = 306,644.64/x
  3. Step 3: Cross multiply
    564,764.60x = 779,381.80 × 306,644.64
  4. Step 4: Simplify right side
    564,764.60x = 238,993,247,794.26
  5. Step 5: Solve for x
    x = 238,993,247,794.26/564,764.60
  6. Step 6: Final answer
    x = 423,173.21

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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.