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Finding the Fourth Proportional to 340,399.56, 509,990.22 and 190,465.32

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Solution

The fourth proportional to 340,399.56, 509,990.22 and 190,465.32 is: 285,357.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,399.56 : 509,990.22 = 190,465.32 : x
  2. Step 2: Convert to fraction form
    340,399.56/509,990.22 = 190,465.32/x
  3. Step 3: Cross multiply
    340,399.56x = 509,990.22 × 190,465.32
  4. Step 4: Simplify right side
    340,399.56x = 97,135,450,449.17
  5. Step 5: Solve for x
    x = 97,135,450,449.17/340,399.56
  6. Step 6: Final answer
    x = 285,357.16

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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.