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Finding the Fourth Proportional to 516,016.90, 711,978.69 and 301,034.26

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Solution

The fourth proportional to 516,016.90, 711,978.69 and 301,034.26 is: 415,354.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,016.90 : 711,978.69 = 301,034.26 : x
  2. Step 2: Convert to fraction form
    516,016.90/711,978.69 = 301,034.26/x
  3. Step 3: Cross multiply
    516,016.90x = 711,978.69 × 301,034.26
  4. Step 4: Simplify right side
    516,016.90x = 214,329,978,079.92
  5. Step 5: Solve for x
    x = 214,329,978,079.92/516,016.90
  6. Step 6: Final answer
    x = 415,354.57

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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.