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Finding the Fourth Proportional to 211,656.56, 315,423.54 and 205,248.88

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Solution

The fourth proportional to 211,656.56, 315,423.54 and 205,248.88 is: 305,874.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,656.56 : 315,423.54 = 205,248.88 : x
  2. Step 2: Convert to fraction form
    211,656.56/315,423.54 = 205,248.88/x
  3. Step 3: Cross multiply
    211,656.56x = 315,423.54 × 205,248.88
  4. Step 4: Simplify right side
    211,656.56x = 64,740,328,310.64
  5. Step 5: Solve for x
    x = 64,740,328,310.64/211,656.56
  6. Step 6: Final answer
    x = 305,874.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.