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Finding the Fourth Proportional to 520,655.32, 780,091.44 and 284,163.94

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Solution

The fourth proportional to 520,655.32, 780,091.44 and 284,163.94 is: 425,759.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,655.32 : 780,091.44 = 284,163.94 : x
  2. Step 2: Convert to fraction form
    520,655.32/780,091.44 = 284,163.94/x
  3. Step 3: Cross multiply
    520,655.32x = 780,091.44 × 284,163.94
  4. Step 4: Simplify right side
    520,655.32x = 221,673,857,150.67
  5. Step 5: Solve for x
    x = 221,673,857,150.67/520,655.32
  6. Step 6: Final answer
    x = 425,759.32

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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.