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Finding the Fourth Proportional to 407,397, 611,112.06 and 194,055.24

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Solution

The fourth proportional to 407,397, 611,112.06 and 194,055.24 is: 291,090.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,397 : 611,112.06 = 194,055.24 : x
  2. Step 2: Convert to fraction form
    407,397/611,112.06 = 194,055.24/x
  3. Step 3: Cross multiply
    407,397x = 611,112.06 × 194,055.24
  4. Step 4: Simplify right side
    407,397x = 118,589,497,470.19
  5. Step 5: Solve for x
    x = 118,589,497,470.19/407,397
  6. Step 6: Final answer
    x = 291,090.75

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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.