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Finding the Fourth Proportional to 397,069.64, 547,958.34 and 215,783.08

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Solution

The fourth proportional to 397,069.64, 547,958.34 and 215,783.08 is: 297,781.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,069.64 : 547,958.34 = 215,783.08 : x
  2. Step 2: Convert to fraction form
    397,069.64/547,958.34 = 215,783.08/x
  3. Step 3: Cross multiply
    397,069.64x = 547,958.34 × 215,783.08
  4. Step 4: Simplify right side
    397,069.64x = 118,240,138,316.89
  5. Step 5: Solve for x
    x = 118,240,138,316.89/397,069.64
  6. Step 6: Final answer
    x = 297,781.87

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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.