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Finding the Fourth Proportional to 509,487.90, 764,231.85 and 273,291.90

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Solution

The fourth proportional to 509,487.90, 764,231.85 and 273,291.90 is: 409,937.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,487.90 : 764,231.85 = 273,291.90 : x
  2. Step 2: Convert to fraction form
    509,487.90/764,231.85 = 273,291.90/x
  3. Step 3: Cross multiply
    509,487.90x = 764,231.85 × 273,291.90
  4. Step 4: Simplify right side
    509,487.90x = 208,858,374,327.02
  5. Step 5: Solve for x
    x = 208,858,374,327.02/509,487.90
  6. Step 6: Final answer
    x = 409,937.85

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Similar ratio
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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.