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Finding the Fourth Proportional to 312,508.54, 430,978.32 and 205,037.74

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Solution

The fourth proportional to 312,508.54, 430,978.32 and 205,037.74 is: 282,766.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,508.54 : 430,978.32 = 205,037.74 : x
  2. Step 2: Convert to fraction form
    312,508.54/430,978.32 = 205,037.74/x
  3. Step 3: Cross multiply
    312,508.54x = 430,978.32 × 205,037.74
  4. Step 4: Simplify right side
    312,508.54x = 88,366,820,721.80
  5. Step 5: Solve for x
    x = 88,366,820,721.80/312,508.54
  6. Step 6: Final answer
    x = 282,766.10

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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.