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Finding the Fourth Proportional to 268,900.85, 402,476.48 and 209,414.45

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Solution

The fourth proportional to 268,900.85, 402,476.48 and 209,414.45 is: 313,440.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,900.85 : 402,476.48 = 209,414.45 : x
  2. Step 2: Convert to fraction form
    268,900.85/402,476.48 = 209,414.45/x
  3. Step 3: Cross multiply
    268,900.85x = 402,476.48 × 209,414.45
  4. Step 4: Simplify right side
    268,900.85x = 84,284,389,650.06
  5. Step 5: Solve for x
    x = 84,284,389,650.06/268,900.85
  6. Step 6: Final answer
    x = 313,440.40

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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.