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Finding the Fourth Proportional to 313,651.88, 470,487.04 and 76,994.55

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Solution

The fourth proportional to 313,651.88, 470,487.04 and 76,994.55 is: 115,494.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,651.88 : 470,487.04 = 76,994.55 : x
  2. Step 2: Convert to fraction form
    313,651.88/470,487.04 = 76,994.55/x
  3. Step 3: Cross multiply
    313,651.88x = 470,487.04 × 76,994.55
  4. Step 4: Simplify right side
    313,651.88x = 36,224,937,925.63
  5. Step 5: Solve for x
    x = 36,224,937,925.63/313,651.88
  6. Step 6: Final answer
    x = 115,494.09

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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.