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Finding the Fourth Proportional to 326,380.98, 450,438.12 and 219,174.24

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Solution

The fourth proportional to 326,380.98, 450,438.12 and 219,174.24 is: 302,482.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,380.98 : 450,438.12 = 219,174.24 : x
  2. Step 2: Convert to fraction form
    326,380.98/450,438.12 = 219,174.24/x
  3. Step 3: Cross multiply
    326,380.98x = 450,438.12 × 219,174.24
  4. Step 4: Simplify right side
    326,380.98x = 98,724,432,618.03
  5. Step 5: Solve for x
    x = 98,724,432,618.03/326,380.98
  6. Step 6: Final answer
    x = 302,482.19

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1.5x scale

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.