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Finding the Fourth Proportional to 520,156.62, 780,261.93 and 165,198.42

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Solution

The fourth proportional to 520,156.62, 780,261.93 and 165,198.42 is: 247,806.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,156.62 : 780,261.93 = 165,198.42 : x
  2. Step 2: Convert to fraction form
    520,156.62/780,261.93 = 165,198.42/x
  3. Step 3: Cross multiply
    520,156.62x = 780,261.93 × 165,198.42
  4. Step 4: Simplify right side
    520,156.62x = 128,898,038,022.15
  5. Step 5: Solve for x
    x = 128,898,038,022.15/520,156.62
  6. Step 6: Final answer
    x = 247,806.21

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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.