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Finding the Fourth Proportional to 393,978.72, 591,152.64 and 194,190.24

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Solution

The fourth proportional to 393,978.72, 591,152.64 and 194,190.24 is: 291,376.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,978.72 : 591,152.64 = 194,190.24 : x
  2. Step 2: Convert to fraction form
    393,978.72/591,152.64 = 194,190.24/x
  3. Step 3: Cross multiply
    393,978.72x = 591,152.64 × 194,190.24
  4. Step 4: Simplify right side
    393,978.72x = 114,796,073,038.23
  5. Step 5: Solve for x
    x = 114,796,073,038.23/393,978.72
  6. Step 6: Final answer
    x = 291,376.33

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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.