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Finding the Fourth Proportional to 326,098.10, 489,147.15 and 213,832.10

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Solution

The fourth proportional to 326,098.10, 489,147.15 and 213,832.10 is: 320,748.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,098.10 : 489,147.15 = 213,832.10 : x
  2. Step 2: Convert to fraction form
    326,098.10/489,147.15 = 213,832.10/x
  3. Step 3: Cross multiply
    326,098.10x = 489,147.15 × 213,832.10
  4. Step 4: Simplify right side
    326,098.10x = 104,595,362,293.52
  5. Step 5: Solve for x
    x = 104,595,362,293.52/326,098.10
  6. Step 6: Final answer
    x = 320,748.15

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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.