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Finding the Fourth Proportional to 520,149.60, 780,418.80 and 204,826.32

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Solution

The fourth proportional to 520,149.60, 780,418.80 and 204,826.32 is: 307,316.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,149.60 : 780,418.80 = 204,826.32 : x
  2. Step 2: Convert to fraction form
    520,149.60/780,418.80 = 204,826.32/x
  3. Step 3: Cross multiply
    520,149.60x = 780,418.80 × 204,826.32
  4. Step 4: Simplify right side
    520,149.60x = 159,850,310,862.82
  5. Step 5: Solve for x
    x = 159,850,310,862.82/520,149.60
  6. Step 6: Final answer
    x = 307,316.03

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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.