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Finding the Fourth Proportional to 520,083.15, 780,124.73 and 520,083.15

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Solution

The fourth proportional to 520,083.15, 780,124.73 and 520,083.15 is: 780,124.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,083.15 : 780,124.73 = 520,083.15 : x
  2. Step 2: Convert to fraction form
    520,083.15/780,124.73 = 520,083.15/x
  3. Step 3: Cross multiply
    520,083.15x = 780,124.73 × 520,083.15
  4. Step 4: Simplify right side
    520,083.15x = 405,729,726,971.30
  5. Step 5: Solve for x
    x = 405,729,726,971.30/520,083.15
  6. Step 6: Final answer
    x = 780,124.73

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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.