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Finding the Fourth Proportional to 646,378.15, 970,010.09 and 225,654.01

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Solution

The fourth proportional to 646,378.15, 970,010.09 and 225,654.01 is: 338,635.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,378.15 : 970,010.09 = 225,654.01 : x
  2. Step 2: Convert to fraction form
    646,378.15/970,010.09 = 225,654.01/x
  3. Step 3: Cross multiply
    646,378.15x = 970,010.09 × 225,654.01
  4. Step 4: Simplify right side
    646,378.15x = 218,886,666,548.96
  5. Step 5: Solve for x
    x = 218,886,666,548.96/646,378.15
  6. Step 6: Final answer
    x = 338,635.62

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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.