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Finding the Fourth Proportional to 326,406.28, 450,325.20 and 213,294.64

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Solution

The fourth proportional to 326,406.28, 450,325.20 and 213,294.64 is: 294,271.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,406.28 : 450,325.20 = 213,294.64 : x
  2. Step 2: Convert to fraction form
    326,406.28/450,325.20 = 213,294.64/x
  3. Step 3: Cross multiply
    326,406.28x = 450,325.20 × 213,294.64
  4. Step 4: Simplify right side
    326,406.28x = 96,051,951,416.93
  5. Step 5: Solve for x
    x = 96,051,951,416.93/326,406.28
  6. Step 6: Final answer
    x = 294,271.15

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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.