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Finding the Fourth Proportional to 512,617.32, 768,204.06 and 242,457.24

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Solution

The fourth proportional to 512,617.32, 768,204.06 and 242,457.24 is: 363,344.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,617.32 : 768,204.06 = 242,457.24 : x
  2. Step 2: Convert to fraction form
    512,617.32/768,204.06 = 242,457.24/x
  3. Step 3: Cross multiply
    512,617.32x = 768,204.06 × 242,457.24
  4. Step 4: Simplify right side
    512,617.32x = 186,256,636,144.39
  5. Step 5: Solve for x
    x = 186,256,636,144.39/512,617.32
  6. Step 6: Final answer
    x = 363,344.41

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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.