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Finding the Fourth Proportional to 393,317.96, 542,825.40 and 223,577.60

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Solution

The fourth proportional to 393,317.96, 542,825.40 and 223,577.60 is: 308,563.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,317.96 : 542,825.40 = 223,577.60 : x
  2. Step 2: Convert to fraction form
    393,317.96/542,825.40 = 223,577.60/x
  3. Step 3: Cross multiply
    393,317.96x = 542,825.40 × 223,577.60
  4. Step 4: Simplify right side
    393,317.96x = 121,363,600,151.04
  5. Step 5: Solve for x
    x = 121,363,600,151.04/393,317.96
  6. Step 6: Final answer
    x = 308,563.59

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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.