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Finding the Fourth Proportional to 407,911.23, 611,803.67 and 208,379.07

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Solution

The fourth proportional to 407,911.23, 611,803.67 and 208,379.07 is: 312,536.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,911.23 : 611,803.67 = 208,379.07 : x
  2. Step 2: Convert to fraction form
    407,911.23/611,803.67 = 208,379.07/x
  3. Step 3: Cross multiply
    407,911.23x = 611,803.67 × 208,379.07
  4. Step 4: Simplify right side
    407,911.23x = 127,487,078,735.29
  5. Step 5: Solve for x
    x = 127,487,078,735.29/407,911.23
  6. Step 6: Final answer
    x = 312,536.33

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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.