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Finding the Fourth Proportional to 393,253.44, 542,735.91 and 223,513.08

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Solution

The fourth proportional to 393,253.44, 542,735.91 and 223,513.08 is: 308,474.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,253.44 : 542,735.91 = 223,513.08 : x
  2. Step 2: Convert to fraction form
    393,253.44/542,735.91 = 223,513.08/x
  3. Step 3: Cross multiply
    393,253.44x = 542,735.91 × 223,513.08
  4. Step 4: Simplify right side
    393,253.44x = 121,308,574,870.70
  5. Step 5: Solve for x
    x = 121,308,574,870.70/393,253.44
  6. Step 6: Final answer
    x = 308,474.29

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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.