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Finding the Fourth Proportional to 311,840.83, 430,308.20 and 230,212.49

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Solution

The fourth proportional to 311,840.83, 430,308.20 and 230,212.49 is: 317,669.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,840.83 : 430,308.20 = 230,212.49 : x
  2. Step 2: Convert to fraction form
    311,840.83/430,308.20 = 230,212.49/x
  3. Step 3: Cross multiply
    311,840.83x = 430,308.20 × 230,212.49
  4. Step 4: Simplify right side
    311,840.83x = 99,062,321,038.36
  5. Step 5: Solve for x
    x = 99,062,321,038.36/311,840.83
  6. Step 6: Final answer
    x = 317,669.51

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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.