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Finding the Fourth Proportional to 520,092.15, 780,138.23 and 520,092.15

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Solution

The fourth proportional to 520,092.15, 780,138.23 and 520,092.15 is: 780,138.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,092.15 : 780,138.23 = 520,092.15 : x
  2. Step 2: Convert to fraction form
    520,092.15/780,138.23 = 520,092.15/x
  3. Step 3: Cross multiply
    520,092.15x = 780,138.23 × 520,092.15
  4. Step 4: Simplify right side
    520,092.15x = 405,743,769,337.90
  5. Step 5: Solve for x
    x = 405,743,769,337.90/520,092.15
  6. Step 6: Final answer
    x = 780,138.23

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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.