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Finding the Fourth Proportional to 490,295.52, 734,762.88 and 223,403.76

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Solution

The fourth proportional to 490,295.52, 734,762.88 and 223,403.76 is: 334,795.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,295.52 : 734,762.88 = 223,403.76 : x
  2. Step 2: Convert to fraction form
    490,295.52/734,762.88 = 223,403.76/x
  3. Step 3: Cross multiply
    490,295.52x = 734,762.88 × 223,403.76
  4. Step 4: Simplify right side
    490,295.52x = 164,148,790,100.43
  5. Step 5: Solve for x
    x = 164,148,790,100.43/490,295.52
  6. Step 6: Final answer
    x = 334,795.61

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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.