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Finding the Fourth Proportional to 520,160.62, 780,267.93 and 165,202.42

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Solution

The fourth proportional to 520,160.62, 780,267.93 and 165,202.42 is: 247,812.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,160.62 : 780,267.93 = 165,202.42 : x
  2. Step 2: Convert to fraction form
    520,160.62/780,267.93 = 165,202.42/x
  3. Step 3: Cross multiply
    520,160.62x = 780,267.93 × 165,202.42
  4. Step 4: Simplify right side
    520,160.62x = 128,902,150,284.39
  5. Step 5: Solve for x
    x = 128,902,150,284.39/520,160.62
  6. Step 6: Final answer
    x = 247,812.21

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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.