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Finding the Fourth Proportional to 284,672.36, 392,847.80 and 155,611.35

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Solution

The fourth proportional to 284,672.36, 392,847.80 and 155,611.35 is: 214,743.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,672.36 : 392,847.80 = 155,611.35 : x
  2. Step 2: Convert to fraction form
    284,672.36/392,847.80 = 155,611.35/x
  3. Step 3: Cross multiply
    284,672.36x = 392,847.80 × 155,611.35
  4. Step 4: Simplify right side
    284,672.36x = 61,131,575,724.47
  5. Step 5: Solve for x
    x = 61,131,575,724.47/284,672.36
  6. Step 6: Final answer
    x = 214,743.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.