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Finding the Fourth Proportional to 340,509.78, 469,918.02 and 189,606.78

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Solution

The fourth proportional to 340,509.78, 469,918.02 and 189,606.78 is: 261,665.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,509.78 : 469,918.02 = 189,606.78 : x
  2. Step 2: Convert to fraction form
    340,509.78/469,918.02 = 189,606.78/x
  3. Step 3: Cross multiply
    340,509.78x = 469,918.02 × 189,606.78
  4. Step 4: Simplify right side
    340,509.78x = 89,099,642,636.18
  5. Step 5: Solve for x
    x = 89,099,642,636.18/340,509.78
  6. Step 6: Final answer
    x = 261,665.44

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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.