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Finding the Fourth Proportional to 515,583.63, 711,590.92 and 300,723.69

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Solution

The fourth proportional to 515,583.63, 711,590.92 and 300,723.69 is: 415,048.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,583.63 : 711,590.92 = 300,723.69 : x
  2. Step 2: Convert to fraction form
    515,583.63/711,590.92 = 300,723.69/x
  3. Step 3: Cross multiply
    515,583.63x = 711,590.92 × 300,723.69
  4. Step 4: Simplify right side
    515,583.63x = 213,992,246,838.42
  5. Step 5: Solve for x
    x = 213,992,246,838.42/515,583.63
  6. Step 6: Final answer
    x = 415,048.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.