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Finding the Fourth Proportional to 393,903.90, 591,147.45 and 157,416.30

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Solution

The fourth proportional to 393,903.90, 591,147.45 and 157,416.30 is: 236,240.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,903.90 : 591,147.45 = 157,416.30 : x
  2. Step 2: Convert to fraction form
    393,903.90/591,147.45 = 157,416.30/x
  3. Step 3: Cross multiply
    393,903.90x = 591,147.45 × 157,416.30
  4. Step 4: Simplify right side
    393,903.90x = 93,056,244,333.44
  5. Step 5: Solve for x
    x = 93,056,244,333.44/393,903.90
  6. Step 6: Final answer
    x = 236,240.98

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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.