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Finding the Fourth Proportional to 520,026.60, 780,126.30 and 204,493.80

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Solution

The fourth proportional to 520,026.60, 780,126.30 and 204,493.80 is: 306,774.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,026.60 : 780,126.30 = 204,493.80 : x
  2. Step 2: Convert to fraction form
    520,026.60/780,126.30 = 204,493.80/x
  3. Step 3: Cross multiply
    520,026.60x = 780,126.30 × 204,493.80
  4. Step 4: Simplify right side
    520,026.60x = 159,530,991,566.94
  5. Step 5: Solve for x
    x = 159,530,991,566.94/520,026.60
  6. Step 6: Final answer
    x = 306,774.68

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1.5x scale

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.