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Finding the Fourth Proportional to 393,723.38, 590,678.94 and 127,484

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Solution

The fourth proportional to 393,723.38, 590,678.94 and 127,484 is: 191,256.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,723.38 : 590,678.94 = 127,484 : x
  2. Step 2: Convert to fraction form
    393,723.38/590,678.94 = 127,484/x
  3. Step 3: Cross multiply
    393,723.38x = 590,678.94 × 127,484
  4. Step 4: Simplify right side
    393,723.38x = 75,302,113,986.96
  5. Step 5: Solve for x
    x = 75,302,113,986.96/393,723.38
  6. Step 6: Final answer
    x = 191,256.39

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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.