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Finding the Fourth Proportional to 268,568.40, 402,415.20 and 197,709.60

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Solution

The fourth proportional to 268,568.40, 402,415.20 and 197,709.60 is: 296,242.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,568.40 : 402,415.20 = 197,709.60 : x
  2. Step 2: Convert to fraction form
    268,568.40/402,415.20 = 197,709.60/x
  3. Step 3: Cross multiply
    268,568.40x = 402,415.20 × 197,709.60
  4. Step 4: Simplify right side
    268,568.40x = 79,561,348,225.92
  5. Step 5: Solve for x
    x = 79,561,348,225.92/268,568.40
  6. Step 6: Final answer
    x = 296,242.40

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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.