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Finding the Fourth Proportional to 613,069.72, 919,651.74 and 186,642.14

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Solution

The fourth proportional to 613,069.72, 919,651.74 and 186,642.14 is: 279,977.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,069.72 : 919,651.74 = 186,642.14 : x
  2. Step 2: Convert to fraction form
    613,069.72/919,651.74 = 186,642.14/x
  3. Step 3: Cross multiply
    613,069.72x = 919,651.74 × 186,642.14
  4. Step 4: Simplify right side
    613,069.72x = 171,645,768,808.32
  5. Step 5: Solve for x
    x = 171,645,768,808.32/613,069.72
  6. Step 6: Final answer
    x = 279,977.57

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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.