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Finding the Fourth Proportional to 393,263.94, 542,750.31 and 223,523.58

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Solution

The fourth proportional to 393,263.94, 542,750.31 and 223,523.58 is: 308,488.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,263.94 : 542,750.31 = 223,523.58 : x
  2. Step 2: Convert to fraction form
    393,263.94/542,750.31 = 223,523.58/x
  3. Step 3: Cross multiply
    393,263.94x = 542,750.31 × 223,523.58
  4. Step 4: Simplify right side
    393,263.94x = 121,317,492,337.31
  5. Step 5: Solve for x
    x = 121,317,492,337.31/393,263.94
  6. Step 6: Final answer
    x = 308,488.73

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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.