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Finding the Fourth Proportional to 265,970, 398,955 and 118,226

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Solution

The fourth proportional to 265,970, 398,955 and 118,226 is: 177,339

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,970 : 398,955 = 118,226 : x
  2. Step 2: Convert to fraction form
    265,970/398,955 = 118,226/x
  3. Step 3: Cross multiply
    265,970x = 398,955 × 118,226
  4. Step 4: Simplify right side
    265,970x = 47,166,853,830
  5. Step 5: Solve for x
    x = 47,166,853,830/265,970
  6. Step 6: Final answer
    x = 177,339

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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.