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Finding the Fourth Proportional to 340,515.78, 469,926.30 and 189,612.78

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Solution

The fourth proportional to 340,515.78, 469,926.30 and 189,612.78 is: 261,673.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,515.78 : 469,926.30 = 189,612.78 : x
  2. Step 2: Convert to fraction form
    340,515.78/469,926.30 = 189,612.78/x
  3. Step 3: Cross multiply
    340,515.78x = 469,926.30 × 189,612.78
  4. Step 4: Simplify right side
    340,515.78x = 89,104,032,138.11
  5. Step 5: Solve for x
    x = 89,104,032,138.11/340,515.78
  6. Step 6: Final answer
    x = 261,673.72

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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.