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Finding the Fourth Proportional to 313,692.60, 432,994.86 and 200,515.80

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Solution

The fourth proportional to 313,692.60, 432,994.86 and 200,515.80 is: 276,775.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,692.60 : 432,994.86 = 200,515.80 : x
  2. Step 2: Convert to fraction form
    313,692.60/432,994.86 = 200,515.80/x
  3. Step 3: Cross multiply
    313,692.60x = 432,994.86 × 200,515.80
  4. Step 4: Simplify right side
    313,692.60x = 86,822,310,748.79
  5. Step 5: Solve for x
    x = 86,822,310,748.79/313,692.60
  6. Step 6: Final answer
    x = 276,775.13

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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.