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Finding the Fourth Proportional to 247,511, 341,653.74 and 146,909

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Solution

The fourth proportional to 247,511, 341,653.74 and 146,909 is: 202,786.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,511 : 341,653.74 = 146,909 : x
  2. Step 2: Convert to fraction form
    247,511/341,653.74 = 146,909/x
  3. Step 3: Cross multiply
    247,511x = 341,653.74 × 146,909
  4. Step 4: Simplify right side
    247,511x = 50,192,009,289.66
  5. Step 5: Solve for x
    x = 50,192,009,289.66/247,511
  6. Step 6: Final answer
    x = 202,786.98

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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.