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Finding the Fourth Proportional to 515,866.43, 711,980.37 and 301,005.96

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Solution

The fourth proportional to 515,866.43, 711,980.37 and 301,005.96 is: 415,437.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,866.43 : 711,980.37 = 301,005.96 : x
  2. Step 2: Convert to fraction form
    515,866.43/711,980.37 = 301,005.96/x
  3. Step 3: Cross multiply
    515,866.43x = 711,980.37 × 301,005.96
  4. Step 4: Simplify right side
    515,866.43x = 214,310,334,773.01
  5. Step 5: Solve for x
    x = 214,310,334,773.01/515,866.43
  6. Step 6: Final answer
    x = 415,437.65

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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.