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Finding the Fourth Proportional to 268,971.60, 403,457.40 and 256,724.40

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Solution

The fourth proportional to 268,971.60, 403,457.40 and 256,724.40 is: 385,086.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,971.60 : 403,457.40 = 256,724.40 : x
  2. Step 2: Convert to fraction form
    268,971.60/403,457.40 = 256,724.40/x
  3. Step 3: Cross multiply
    268,971.60x = 403,457.40 × 256,724.40
  4. Step 4: Simplify right side
    268,971.60x = 103,577,358,940.56
  5. Step 5: Solve for x
    x = 103,577,358,940.56/268,971.60
  6. Step 6: Final answer
    x = 385,086.60

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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.