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Finding the Fourth Proportional to 505,992.98, 759,120.80 and 151,007

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Solution

The fourth proportional to 505,992.98, 759,120.80 and 151,007 is: 226,549.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,992.98 : 759,120.80 = 151,007 : x
  2. Step 2: Convert to fraction form
    505,992.98/759,120.80 = 151,007/x
  3. Step 3: Cross multiply
    505,992.98x = 759,120.80 × 151,007
  4. Step 4: Simplify right side
    505,992.98x = 114,632,554,645.60
  5. Step 5: Solve for x
    x = 114,632,554,645.60/505,992.98
  6. Step 6: Final answer
    x = 226,549.69

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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.