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Finding the Fourth Proportional to 313,205.89, 432,409.74 and 205,960.87

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Solution

The fourth proportional to 313,205.89, 432,409.74 and 205,960.87 is: 284,348.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,205.89 : 432,409.74 = 205,960.87 : x
  2. Step 2: Convert to fraction form
    313,205.89/432,409.74 = 205,960.87/x
  3. Step 3: Cross multiply
    313,205.89x = 432,409.74 × 205,960.87
  4. Step 4: Simplify right side
    313,205.89x = 89,059,486,246.87
  5. Step 5: Solve for x
    x = 89,059,486,246.87/313,205.89
  6. Step 6: Final answer
    x = 284,348.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.