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Finding the Fourth Proportional to 245,441.36, 338,702.30 and 138,008.64

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Solution

The fourth proportional to 245,441.36, 338,702.30 and 138,008.64 is: 190,448.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,441.36 : 338,702.30 = 138,008.64 : x
  2. Step 2: Convert to fraction form
    245,441.36/338,702.30 = 138,008.64/x
  3. Step 3: Cross multiply
    245,441.36x = 338,702.30 × 138,008.64
  4. Step 4: Simplify right side
    245,441.36x = 46,743,843,787.87
  5. Step 5: Solve for x
    x = 46,743,843,787.87/245,441.36
  6. Step 6: Final answer
    x = 190,448.11

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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.