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Finding the Fourth Proportional to 520,163.25, 780,271.87 and 165,205.05

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Solution

The fourth proportional to 520,163.25, 780,271.87 and 165,205.05 is: 247,816.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,163.25 : 780,271.87 = 165,205.05 : x
  2. Step 2: Convert to fraction form
    520,163.25/780,271.87 = 165,205.05/x
  3. Step 3: Cross multiply
    520,163.25x = 780,271.87 × 165,205.05
  4. Step 4: Simplify right side
    520,163.25x = 128,904,849,395.58
  5. Step 5: Solve for x
    x = 128,904,849,395.58/520,163.25
  6. Step 6: Final answer
    x = 247,816.14

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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.