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Finding the Fourth Proportional to 263,460.12, 395,264.16 and 105,799.28

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Solution

The fourth proportional to 263,460.12, 395,264.16 and 105,799.28 is: 158,728.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,460.12 : 395,264.16 = 105,799.28 : x
  2. Step 2: Convert to fraction form
    263,460.12/395,264.16 = 105,799.28/x
  3. Step 3: Cross multiply
    263,460.12x = 395,264.16 × 105,799.28
  4. Step 4: Simplify right side
    263,460.12x = 41,818,663,537.80
  5. Step 5: Solve for x
    x = 41,818,663,537.80/263,460.12
  6. Step 6: Final answer
    x = 158,728.63

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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.