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Finding the Fourth Proportional to 312,507.54, 430,976.94 and 205,036.74

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Solution

The fourth proportional to 312,507.54, 430,976.94 and 205,036.74 is: 282,764.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,507.54 : 430,976.94 = 205,036.74 : x
  2. Step 2: Convert to fraction form
    312,507.54/430,976.94 = 205,036.74/x
  3. Step 3: Cross multiply
    312,507.54x = 430,976.94 × 205,036.74
  4. Step 4: Simplify right side
    312,507.54x = 88,366,106,792.78
  5. Step 5: Solve for x
    x = 88,366,106,792.78/312,507.54
  6. Step 6: Final answer
    x = 282,764.72

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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.