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Finding the Fourth Proportional to 320,599.31, 478,531.25 and 282,777.98

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Solution

The fourth proportional to 320,599.31, 478,531.25 and 282,777.98 is: 422,078.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,599.31 : 478,531.25 = 282,777.98 : x
  2. Step 2: Convert to fraction form
    320,599.31/478,531.25 = 282,777.98/x
  3. Step 3: Cross multiply
    320,599.31x = 478,531.25 × 282,777.98
  4. Step 4: Simplify right side
    320,599.31x = 135,318,096,435.33
  5. Step 5: Solve for x
    x = 135,318,096,435.33/320,599.31
  6. Step 6: Final answer
    x = 422,078.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.