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Finding the Fourth Proportional to 520,610.31, 780,024.24 and 284,119.11

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Solution

The fourth proportional to 520,610.31, 780,024.24 and 284,119.11 is: 425,692.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,610.31 : 780,024.24 = 284,119.11 : x
  2. Step 2: Convert to fraction form
    520,610.31/780,024.24 = 284,119.11/x
  3. Step 3: Cross multiply
    520,610.31x = 780,024.24 × 284,119.11
  4. Step 4: Simplify right side
    520,610.31x = 221,619,792,847.23
  5. Step 5: Solve for x
    x = 221,619,792,847.23/520,610.31
  6. Step 6: Final answer
    x = 425,692.29

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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.