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Finding the Fourth Proportional to 393,057.87, 542,421.68 and 223,301.31

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Solution

The fourth proportional to 393,057.87, 542,421.68 and 223,301.31 is: 308,156.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,057.87 : 542,421.68 = 223,301.31 : x
  2. Step 2: Convert to fraction form
    393,057.87/542,421.68 = 223,301.31/x
  3. Step 3: Cross multiply
    393,057.87x = 542,421.68 × 223,301.31
  4. Step 4: Simplify right side
    393,057.87x = 121,123,470,599.89
  5. Step 5: Solve for x
    x = 121,123,470,599.89/393,057.87
  6. Step 6: Final answer
    x = 308,156.84

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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.