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Finding the Fourth Proportional to 513,915.84, 770,818.44 and 134,874.56

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Solution

The fourth proportional to 513,915.84, 770,818.44 and 134,874.56 is: 202,297.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,915.84 : 770,818.44 = 134,874.56 : x
  2. Step 2: Convert to fraction form
    513,915.84/770,818.44 = 134,874.56/x
  3. Step 3: Cross multiply
    513,915.84x = 770,818.44 × 134,874.56
  4. Step 4: Simplify right side
    513,915.84x = 103,963,797,934.89
  5. Step 5: Solve for x
    x = 103,963,797,934.89/513,915.84
  6. Step 6: Final answer
    x = 202,297.32

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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.