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Finding the Fourth Proportional to 477,339.52, 715,908.39 and 140,288.71

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Solution

The fourth proportional to 477,339.52, 715,908.39 and 140,288.71 is: 210,403.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,339.52 : 715,908.39 = 140,288.71 : x
  2. Step 2: Convert to fraction form
    477,339.52/715,908.39 = 140,288.71/x
  3. Step 3: Cross multiply
    477,339.52x = 715,908.39 × 140,288.71
  4. Step 4: Simplify right side
    477,339.52x = 100,433,864,511.28
  5. Step 5: Solve for x
    x = 100,433,864,511.28/477,339.52
  6. Step 6: Final answer
    x = 210,403.41

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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.