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Finding the Fourth Proportional to 313,915.34, 467,915.82 and 288,721.10

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Solution

The fourth proportional to 313,915.34, 467,915.82 and 288,721.10 is: 430,361.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,915.34 : 467,915.82 = 288,721.10 : x
  2. Step 2: Convert to fraction form
    313,915.34/467,915.82 = 288,721.10/x
  3. Step 3: Cross multiply
    313,915.34x = 467,915.82 × 288,721.10
  4. Step 4: Simplify right side
    313,915.34x = 135,097,170,257.80
  5. Step 5: Solve for x
    x = 135,097,170,257.80/313,915.34
  6. Step 6: Final answer
    x = 430,361.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.