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Finding the Fourth Proportional to 405,047.56, 607,569.06 and 165,160.54

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Solution

The fourth proportional to 405,047.56, 607,569.06 and 165,160.54 is: 247,739.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,047.56 : 607,569.06 = 165,160.54 : x
  2. Step 2: Convert to fraction form
    405,047.56/607,569.06 = 165,160.54/x
  3. Step 3: Cross multiply
    405,047.56x = 607,569.06 × 165,160.54
  4. Step 4: Simplify right side
    405,047.56x = 100,346,434,036.89
  5. Step 5: Solve for x
    x = 100,346,434,036.89/405,047.56
  6. Step 6: Final answer
    x = 247,739.88

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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.