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Finding the Fourth Proportional to 510,453, 765,621.12 and 136,505.16

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Solution

The fourth proportional to 510,453, 765,621.12 and 136,505.16 is: 204,742.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,453 : 765,621.12 = 136,505.16 : x
  2. Step 2: Convert to fraction form
    510,453/765,621.12 = 136,505.16/x
  3. Step 3: Cross multiply
    510,453x = 765,621.12 × 136,505.16
  4. Step 4: Simplify right side
    510,453x = 104,511,233,484.98
  5. Step 5: Solve for x
    x = 104,511,233,484.98/510,453
  6. Step 6: Final answer
    x = 204,742.13

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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.