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Finding the Fourth Proportional to 313,433.64, 470,135.88 and 76,763.79

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Solution

The fourth proportional to 313,433.64, 470,135.88 and 76,763.79 is: 115,142.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,433.64 : 470,135.88 = 76,763.79 : x
  2. Step 2: Convert to fraction form
    313,433.64/470,135.88 = 76,763.79/x
  3. Step 3: Cross multiply
    313,433.64x = 470,135.88 × 76,763.79
  4. Step 4: Simplify right side
    313,433.64x = 36,089,411,963.79
  5. Step 5: Solve for x
    x = 36,089,411,963.79/313,433.64
  6. Step 6: Final answer
    x = 115,142.11

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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.