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Finding the Fourth Proportional to 313,689.60, 432,990.72 and 200,512.80

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Solution

The fourth proportional to 313,689.60, 432,990.72 and 200,512.80 is: 276,770.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,689.60 : 432,990.72 = 200,512.80 : x
  2. Step 2: Convert to fraction form
    313,689.60/432,990.72 = 200,512.80/x
  3. Step 3: Cross multiply
    313,689.60x = 432,990.72 × 200,512.80
  4. Step 4: Simplify right side
    313,689.60x = 86,820,181,641.22
  5. Step 5: Solve for x
    x = 86,820,181,641.22/313,689.60
  6. Step 6: Final answer
    x = 276,770.99

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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.