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Finding the Fourth Proportional to 270,705.40, 405,810.42 and 104,368.12

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Solution

The fourth proportional to 270,705.40, 405,810.42 and 104,368.12 is: 156,456.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,705.40 : 405,810.42 = 104,368.12 : x
  2. Step 2: Convert to fraction form
    270,705.40/405,810.42 = 104,368.12/x
  3. Step 3: Cross multiply
    270,705.40x = 405,810.42 × 104,368.12
  4. Step 4: Simplify right side
    270,705.40x = 42,353,670,611.81
  5. Step 5: Solve for x
    x = 42,353,670,611.81/270,705.40
  6. Step 6: Final answer
    x = 156,456.69

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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.