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Finding the Fourth Proportional to 490,783.82, 736,176.90 and 149,230.40

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Solution

The fourth proportional to 490,783.82, 736,176.90 and 149,230.40 is: 223,845.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,783.82 : 736,176.90 = 149,230.40 : x
  2. Step 2: Convert to fraction form
    490,783.82/736,176.90 = 149,230.40/x
  3. Step 3: Cross multiply
    490,783.82x = 736,176.90 × 149,230.40
  4. Step 4: Simplify right side
    490,783.82x = 109,859,973,257.76
  5. Step 5: Solve for x
    x = 109,859,973,257.76/490,783.82
  6. Step 6: Final answer
    x = 223,845.96

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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.