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Finding the Fourth Proportional to 309,831, 427,566.78 and 175,695

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Solution

The fourth proportional to 309,831, 427,566.78 and 175,695 is: 242,459.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,831 : 427,566.78 = 175,695 : x
  2. Step 2: Convert to fraction form
    309,831/427,566.78 = 175,695/x
  3. Step 3: Cross multiply
    309,831x = 427,566.78 × 175,695
  4. Step 4: Simplify right side
    309,831x = 75,121,345,412.10
  5. Step 5: Solve for x
    x = 75,121,345,412.10/309,831
  6. Step 6: Final answer
    x = 242,459.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.