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Finding the Fourth Proportional to 245,116.52, 338,389.80 and 164,965.40

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Solution

The fourth proportional to 245,116.52, 338,389.80 and 164,965.40 is: 227,739.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,116.52 : 338,389.80 = 164,965.40 : x
  2. Step 2: Convert to fraction form
    245,116.52/338,389.80 = 164,965.40/x
  3. Step 3: Cross multiply
    245,116.52x = 338,389.80 × 164,965.40
  4. Step 4: Simplify right side
    245,116.52x = 55,822,608,712.92
  5. Step 5: Solve for x
    x = 55,822,608,712.92/245,116.52
  6. Step 6: Final answer
    x = 227,739.07

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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.