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Finding the Fourth Proportional to 399,270.56, 550,336.76 and 283,022.96

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Solution

The fourth proportional to 399,270.56, 550,336.76 and 283,022.96 is: 390,106.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,270.56 : 550,336.76 = 283,022.96 : x
  2. Step 2: Convert to fraction form
    399,270.56/550,336.76 = 283,022.96/x
  3. Step 3: Cross multiply
    399,270.56x = 550,336.76 × 283,022.96
  4. Step 4: Simplify right side
    399,270.56x = 155,757,938,812.01
  5. Step 5: Solve for x
    x = 155,757,938,812.01/399,270.56
  6. Step 6: Final answer
    x = 390,106.24

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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.