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Finding the Fourth Proportional to 319,175.78, 478,915.74 and 199,200.20

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Solution

The fourth proportional to 319,175.78, 478,915.74 and 199,200.20 is: 298,895.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,175.78 : 478,915.74 = 199,200.20 : x
  2. Step 2: Convert to fraction form
    319,175.78/478,915.74 = 199,200.20/x
  3. Step 3: Cross multiply
    319,175.78x = 478,915.74 × 199,200.20
  4. Step 4: Simplify right side
    319,175.78x = 95,400,108,796.57
  5. Step 5: Solve for x
    x = 95,400,108,796.57/319,175.78
  6. Step 6: Final answer
    x = 298,895.21

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1.5x scale

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.