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Finding the Fourth Proportional to 393,320.54, 542,777.28 and 223,543.46

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Solution

The fourth proportional to 393,320.54, 542,777.28 and 223,543.46 is: 308,487.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,320.54 : 542,777.28 = 223,543.46 : x
  2. Step 2: Convert to fraction form
    393,320.54/542,777.28 = 223,543.46/x
  3. Step 3: Cross multiply
    393,320.54x = 542,777.28 × 223,543.46
  4. Step 4: Simplify right side
    393,320.54x = 121,334,311,180.59
  5. Step 5: Solve for x
    x = 121,334,311,180.59/393,320.54
  6. Step 6: Final answer
    x = 308,487.10

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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.