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Finding the Fourth Proportional to 270,643.10, 405,964.65 and 83,654.30

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Solution

The fourth proportional to 270,643.10, 405,964.65 and 83,654.30 is: 125,481.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,643.10 : 405,964.65 = 83,654.30 : x
  2. Step 2: Convert to fraction form
    270,643.10/405,964.65 = 83,654.30/x
  3. Step 3: Cross multiply
    270,643.10x = 405,964.65 × 83,654.30
  4. Step 4: Simplify right side
    270,643.10x = 33,960,688,620.50
  5. Step 5: Solve for x
    x = 33,960,688,620.50/270,643.10
  6. Step 6: Final answer
    x = 125,481.45

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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.