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Finding the Fourth Proportional to 512,053.76, 768,079.78 and 212,334.32

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Solution

The fourth proportional to 512,053.76, 768,079.78 and 212,334.32 is: 318,501.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,053.76 : 768,079.78 = 212,334.32 : x
  2. Step 2: Convert to fraction form
    512,053.76/768,079.78 = 212,334.32/x
  3. Step 3: Cross multiply
    512,053.76x = 768,079.78 × 212,334.32
  4. Step 4: Simplify right side
    512,053.76x = 163,089,697,792.05
  5. Step 5: Solve for x
    x = 163,089,697,792.05/512,053.76
  6. Step 6: Final answer
    x = 318,501.12

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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.