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Finding the Fourth Proportional to 270,282.92, 405,396.71 and 70,577.36

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Solution

The fourth proportional to 270,282.92, 405,396.71 and 70,577.36 is: 105,858.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,282.92 : 405,396.71 = 70,577.36 : x
  2. Step 2: Convert to fraction form
    270,282.92/405,396.71 = 70,577.36/x
  3. Step 3: Cross multiply
    270,282.92x = 405,396.71 × 70,577.36
  4. Step 4: Simplify right side
    270,282.92x = 28,611,827,164.62
  5. Step 5: Solve for x
    x = 28,611,827,164.62/270,282.92
  6. Step 6: Final answer
    x = 105,858.81

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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.