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Finding the Fourth Proportional to 339,006.31, 508,509.47 and 264,182.45

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Solution

The fourth proportional to 339,006.31, 508,509.47 and 264,182.45 is: 396,273.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,006.31 : 508,509.47 = 264,182.45 : x
  2. Step 2: Convert to fraction form
    339,006.31/508,509.47 = 264,182.45/x
  3. Step 3: Cross multiply
    339,006.31x = 508,509.47 × 264,182.45
  4. Step 4: Simplify right side
    339,006.31x = 134,339,277,632.80
  5. Step 5: Solve for x
    x = 134,339,277,632.80/339,006.31
  6. Step 6: Final answer
    x = 396,273.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.