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Finding the Fourth Proportional to 389,576.54, 584,306.34 and 123,302.54

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Solution

The fourth proportional to 389,576.54, 584,306.34 and 123,302.54 is: 184,935.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,576.54 : 584,306.34 = 123,302.54 : x
  2. Step 2: Convert to fraction form
    389,576.54/584,306.34 = 123,302.54/x
  3. Step 3: Cross multiply
    389,576.54x = 584,306.34 × 123,302.54
  4. Step 4: Simplify right side
    389,576.54x = 72,046,452,938.57
  5. Step 5: Solve for x
    x = 72,046,452,938.57/389,576.54
  6. Step 6: Final answer
    x = 184,935.30

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Why These Related Problems?

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