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Finding the Fourth Proportional to 298,350.28, 411,875.92 and 230,214.30

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Solution

The fourth proportional to 298,350.28, 411,875.92 and 230,214.30 is: 317,813.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,350.28 : 411,875.92 = 230,214.30 : x
  2. Step 2: Convert to fraction form
    298,350.28/411,875.92 = 230,214.30/x
  3. Step 3: Cross multiply
    298,350.28x = 411,875.92 × 230,214.30
  4. Step 4: Simplify right side
    298,350.28x = 94,819,726,609.66
  5. Step 5: Solve for x
    x = 94,819,726,609.66/298,350.28
  6. Step 6: Final answer
    x = 317,813.43

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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.