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Finding the Fourth Proportional to 389,096.64, 583,157.76 and 208,736.64

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Solution

The fourth proportional to 389,096.64, 583,157.76 and 208,736.64 is: 312,843.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,096.64 : 583,157.76 = 208,736.64 : x
  2. Step 2: Convert to fraction form
    389,096.64/583,157.76 = 208,736.64/x
  3. Step 3: Cross multiply
    389,096.64x = 583,157.76 × 208,736.64
  4. Step 4: Simplify right side
    389,096.64x = 121,726,391,412.33
  5. Step 5: Solve for x
    x = 121,726,391,412.33/389,096.64
  6. Step 6: Final answer
    x = 312,843.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.