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Finding the Fourth Proportional to 601,805.64, 902,764.35 and 217,650.72

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Solution

The fourth proportional to 601,805.64, 902,764.35 and 217,650.72 is: 326,496.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,805.64 : 902,764.35 = 217,650.72 : x
  2. Step 2: Convert to fraction form
    601,805.64/902,764.35 = 217,650.72/x
  3. Step 3: Cross multiply
    601,805.64x = 902,764.35 × 217,650.72
  4. Step 4: Simplify right side
    601,805.64x = 196,487,310,767.83
  5. Step 5: Solve for x
    x = 196,487,310,767.83/601,805.64
  6. Step 6: Final answer
    x = 326,496.29

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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.