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Finding the Fourth Proportional to 454,428.40, 681,642.60 and 410,191.60

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Solution

The fourth proportional to 454,428.40, 681,642.60 and 410,191.60 is: 615,287.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,428.40 : 681,642.60 = 410,191.60 : x
  2. Step 2: Convert to fraction form
    454,428.40/681,642.60 = 410,191.60/x
  3. Step 3: Cross multiply
    454,428.40x = 681,642.60 × 410,191.60
  4. Step 4: Simplify right side
    454,428.40x = 279,604,068,722.16
  5. Step 5: Solve for x
    x = 279,604,068,722.16/454,428.40
  6. Step 6: Final answer
    x = 615,287.40

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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.