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Finding the Fourth Proportional to 520,201.80, 780,108.30 and 204,593.40

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Solution

The fourth proportional to 520,201.80, 780,108.30 and 204,593.40 is: 306,813.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,201.80 : 780,108.30 = 204,593.40 : x
  2. Step 2: Convert to fraction form
    520,201.80/780,108.30 = 204,593.40/x
  3. Step 3: Cross multiply
    520,201.80x = 780,108.30 × 204,593.40
  4. Step 4: Simplify right side
    520,201.80x = 159,605,009,465.22
  5. Step 5: Solve for x
    x = 159,605,009,465.22/520,201.80
  6. Step 6: Final answer
    x = 306,813.64

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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.