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Finding the Fourth Proportional to 312,498.54, 430,964.55 and 205,027.74

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Solution

The fourth proportional to 312,498.54, 430,964.55 and 205,027.74 is: 282,752.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,498.54 : 430,964.55 = 205,027.74 : x
  2. Step 2: Convert to fraction form
    312,498.54/430,964.55 = 205,027.74/x
  3. Step 3: Cross multiply
    312,498.54x = 430,964.55 × 205,027.74
  4. Step 4: Simplify right side
    312,498.54x = 88,359,687,706.62
  5. Step 5: Solve for x
    x = 88,359,687,706.62/312,498.54
  6. Step 6: Final answer
    x = 282,752.32

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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.