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Finding the Fourth Proportional to 520,138.72, 779,986.54 and 204,374.13

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Solution

The fourth proportional to 520,138.72, 779,986.54 and 204,374.13 is: 306,474.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,138.72 : 779,986.54 = 204,374.13 : x
  2. Step 2: Convert to fraction form
    520,138.72/779,986.54 = 204,374.13/x
  3. Step 3: Cross multiply
    520,138.72x = 779,986.54 × 204,374.13
  4. Step 4: Simplify right side
    520,138.72x = 159,409,070,524.21
  5. Step 5: Solve for x
    x = 159,409,070,524.21/520,138.72
  6. Step 6: Final answer
    x = 306,474.15

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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.