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Finding the Fourth Proportional to 490,784.82, 736,178.40 and 149,231.40

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Solution

The fourth proportional to 490,784.82, 736,178.40 and 149,231.40 is: 223,847.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,784.82 : 736,178.40 = 149,231.40 : x
  2. Step 2: Convert to fraction form
    490,784.82/736,178.40 = 149,231.40/x
  3. Step 3: Cross multiply
    490,784.82x = 736,178.40 × 149,231.40
  4. Step 4: Simplify right side
    490,784.82x = 109,860,933,281.76
  5. Step 5: Solve for x
    x = 109,860,933,281.76/490,784.82
  6. Step 6: Final answer
    x = 223,847.46

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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.