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Finding the Fourth Proportional to 275,477.10, 413,215.65 and 263,813.10

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Solution

The fourth proportional to 275,477.10, 413,215.65 and 263,813.10 is: 395,719.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,477.10 : 413,215.65 = 263,813.10 : x
  2. Step 2: Convert to fraction form
    275,477.10/413,215.65 = 263,813.10/x
  3. Step 3: Cross multiply
    275,477.10x = 413,215.65 × 263,813.10
  4. Step 4: Simplify right side
    275,477.10x = 109,011,701,595.02
  5. Step 5: Solve for x
    x = 109,011,701,595.02/275,477.10
  6. Step 6: Final answer
    x = 395,719.65

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Similar ratio
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1.5x scale

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.