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Finding the Fourth Proportional to 489,838.42, 734,195.67 and 205,476.40

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Solution

The fourth proportional to 489,838.42, 734,195.67 and 205,476.40 is: 307,978.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,838.42 : 734,195.67 = 205,476.40 : x
  2. Step 2: Convert to fraction form
    489,838.42/734,195.67 = 205,476.40/x
  3. Step 3: Cross multiply
    489,838.42x = 734,195.67 × 205,476.40
  4. Step 4: Simplify right side
    489,838.42x = 150,859,883,167.19
  5. Step 5: Solve for x
    x = 150,859,883,167.19/489,838.42
  6. Step 6: Final answer
    x = 307,978.87

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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.