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Finding the Fourth Proportional to 268,579.54, 402,878.31 and 81,590.50

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Solution

The fourth proportional to 268,579.54, 402,878.31 and 81,590.50 is: 122,388.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,579.54 : 402,878.31 = 81,590.50 : x
  2. Step 2: Convert to fraction form
    268,579.54/402,878.31 = 81,590.50/x
  3. Step 3: Cross multiply
    268,579.54x = 402,878.31 × 81,590.50
  4. Step 4: Simplify right side
    268,579.54x = 32,871,042,752.06
  5. Step 5: Solve for x
    x = 32,871,042,752.06/268,579.54
  6. Step 6: Final answer
    x = 122,388.48

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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.