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Finding the Fourth Proportional to 312,253.40, 430,794.42 and 204,883.04

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Solution

The fourth proportional to 312,253.40, 430,794.42 and 204,883.04 is: 282,662.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,253.40 : 430,794.42 = 204,883.04 : x
  2. Step 2: Convert to fraction form
    312,253.40/430,794.42 = 204,883.04/x
  3. Step 3: Cross multiply
    312,253.40x = 430,794.42 × 204,883.04
  4. Step 4: Simplify right side
    312,253.40x = 88,262,470,384.64
  5. Step 5: Solve for x
    x = 88,262,470,384.64/312,253.40
  6. Step 6: Final answer
    x = 282,662.96

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1.5x scale

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.