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Finding the Fourth Proportional to 393,195.84, 542,403.36 and 265,914.24

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Solution

The fourth proportional to 393,195.84, 542,403.36 and 265,914.24 is: 366,821.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,195.84 : 542,403.36 = 265,914.24 : x
  2. Step 2: Convert to fraction form
    393,195.84/542,403.36 = 265,914.24/x
  3. Step 3: Cross multiply
    393,195.84x = 542,403.36 × 265,914.24
  4. Step 4: Simplify right side
    393,195.84x = 144,232,777,247.85
  5. Step 5: Solve for x
    x = 144,232,777,247.85/393,195.84
  6. Step 6: Final answer
    x = 366,821.73

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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.