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Finding the Fourth Proportional to 611,076.80, 915,388.30 and 311,545.28

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Solution

The fourth proportional to 611,076.80, 915,388.30 and 311,545.28 is: 466,692.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,076.80 : 915,388.30 = 311,545.28 : x
  2. Step 2: Convert to fraction form
    611,076.80/915,388.30 = 311,545.28/x
  3. Step 3: Cross multiply
    611,076.80x = 915,388.30 × 311,545.28
  4. Step 4: Simplify right side
    611,076.80x = 285,184,904,232.22
  5. Step 5: Solve for x
    x = 285,184,904,232.22/611,076.80
  6. Step 6: Final answer
    x = 466,692.41

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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.