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Finding the Fourth Proportional to 597,112.71, 823,978.20 and 328,840.71

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Solution

The fourth proportional to 597,112.71, 823,978.20 and 328,840.71 is: 453,779.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,112.71 : 823,978.20 = 328,840.71 : x
  2. Step 2: Convert to fraction form
    597,112.71/823,978.20 = 328,840.71/x
  3. Step 3: Cross multiply
    597,112.71x = 823,978.20 × 328,840.71
  4. Step 4: Simplify right side
    597,112.71x = 270,957,576,312.52
  5. Step 5: Solve for x
    x = 270,957,576,312.52/597,112.71
  6. Step 6: Final answer
    x = 453,779.62

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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.