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Finding the Fourth Proportional to 489,475.44, 734,248.55 and 204,879.76

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Solution

The fourth proportional to 489,475.44, 734,248.55 and 204,879.76 is: 307,334.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,475.44 : 734,248.55 = 204,879.76 : x
  2. Step 2: Convert to fraction form
    489,475.44/734,248.55 = 204,879.76/x
  3. Step 3: Cross multiply
    489,475.44x = 734,248.55 × 204,879.76
  4. Step 4: Simplify right side
    489,475.44x = 150,432,668,358.63
  5. Step 5: Solve for x
    x = 150,432,668,358.63/489,475.44
  6. Step 6: Final answer
    x = 307,334.46

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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.