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Finding the Fourth Proportional to 248,509, 342,974.82 and 147,907

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Solution

The fourth proportional to 248,509, 342,974.82 and 147,907 is: 204,130.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,509 : 342,974.82 = 147,907 : x
  2. Step 2: Convert to fraction form
    248,509/342,974.82 = 147,907/x
  3. Step 3: Cross multiply
    248,509x = 342,974.82 × 147,907
  4. Step 4: Simplify right side
    248,509x = 50,728,376,701.74
  5. Step 5: Solve for x
    x = 50,728,376,701.74/248,509
  6. Step 6: Final answer
    x = 204,130.94

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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.