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Finding the Fourth Proportional to 298,696.98, 448,058.07 and 138,922.86

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Solution

The fourth proportional to 298,696.98, 448,058.07 and 138,922.86 is: 208,390.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,696.98 : 448,058.07 = 138,922.86 : x
  2. Step 2: Convert to fraction form
    298,696.98/448,058.07 = 138,922.86/x
  3. Step 3: Cross multiply
    298,696.98x = 448,058.07 × 138,922.86
  4. Step 4: Simplify right side
    298,696.98x = 62,245,508,530.48
  5. Step 5: Solve for x
    x = 62,245,508,530.48/298,696.98
  6. Step 6: Final answer
    x = 208,390.15

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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.