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Finding the Fourth Proportional to 489,833.76, 734,188.71 and 205,471.72

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Solution

The fourth proportional to 489,833.76, 734,188.71 and 205,471.72 is: 307,971.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,833.76 : 734,188.71 = 205,471.72 : x
  2. Step 2: Convert to fraction form
    489,833.76/734,188.71 = 205,471.72/x
  3. Step 3: Cross multiply
    489,833.76x = 734,188.71 × 205,471.72
  4. Step 4: Simplify right side
    489,833.76x = 150,855,017,580.76
  5. Step 5: Solve for x
    x = 150,855,017,580.76/489,833.76
  6. Step 6: Final answer
    x = 307,971.86

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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.