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Finding the Fourth Proportional to 400,136.40, 598,892.40 and 310,906.80

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Solution

The fourth proportional to 400,136.40, 598,892.40 and 310,906.80 is: 465,340.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,136.40 : 598,892.40 = 310,906.80 : x
  2. Step 2: Convert to fraction form
    400,136.40/598,892.40 = 310,906.80/x
  3. Step 3: Cross multiply
    400,136.40x = 598,892.40 × 310,906.80
  4. Step 4: Simplify right side
    400,136.40x = 186,199,719,628.32
  5. Step 5: Solve for x
    x = 186,199,719,628.32/400,136.40
  6. Step 6: Final answer
    x = 465,340.62

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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.