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Finding the Fourth Proportional to 393,064.87, 542,431.35 and 223,308.31

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Solution

The fourth proportional to 393,064.87, 542,431.35 and 223,308.31 is: 308,166.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,064.87 : 542,431.35 = 223,308.31 : x
  2. Step 2: Convert to fraction form
    393,064.87/542,431.35 = 223,308.31/x
  3. Step 3: Cross multiply
    393,064.87x = 542,431.35 × 223,308.31
  4. Step 4: Simplify right side
    393,064.87x = 121,129,428,059.52
  5. Step 5: Solve for x
    x = 121,129,428,059.52/393,064.87
  6. Step 6: Final answer
    x = 308,166.51

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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.