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Finding the Fourth Proportional to 611,324.82, 916,692.28 and 256,243.50

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Solution

The fourth proportional to 611,324.82, 916,692.28 and 256,243.50 is: 384,241.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,324.82 : 916,692.28 = 256,243.50 : x
  2. Step 2: Convert to fraction form
    611,324.82/916,692.28 = 256,243.50/x
  3. Step 3: Cross multiply
    611,324.82x = 916,692.28 × 256,243.50
  4. Step 4: Simplify right side
    611,324.82x = 234,896,438,250.18
  5. Step 5: Solve for x
    x = 234,896,438,250.18/611,324.82
  6. Step 6: Final answer
    x = 384,241.62

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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.