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Finding the Fourth Proportional to 389,314.60, 584,202.30 and 256,578.60

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Solution

The fourth proportional to 389,314.60, 584,202.30 and 256,578.60 is: 385,019.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,314.60 : 584,202.30 = 256,578.60 : x
  2. Step 2: Convert to fraction form
    389,314.60/584,202.30 = 256,578.60/x
  3. Step 3: Cross multiply
    389,314.60x = 584,202.30 × 256,578.60
  4. Step 4: Simplify right side
    389,314.60x = 149,893,808,250.78
  5. Step 5: Solve for x
    x = 149,893,808,250.78/389,314.60
  6. Step 6: Final answer
    x = 385,019.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.