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Finding the Fourth Proportional to 552,782.93, 762,838.02 and 311,069.54

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Solution

The fourth proportional to 552,782.93, 762,838.02 and 311,069.54 is: 429,274.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,782.93 : 762,838.02 = 311,069.54 : x
  2. Step 2: Convert to fraction form
    552,782.93/762,838.02 = 311,069.54/x
  3. Step 3: Cross multiply
    552,782.93x = 762,838.02 × 311,069.54
  4. Step 4: Simplify right side
    552,782.93x = 237,295,670,425.20
  5. Step 5: Solve for x
    x = 237,295,670,425.20/552,782.93
  6. Step 6: Final answer
    x = 429,274.60

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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.