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Finding the Fourth Proportional to 298,342.56, 411,768 and 171,019.20

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Solution

The fourth proportional to 298,342.56, 411,768 and 171,019.20 is: 236,038.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,342.56 : 411,768 = 171,019.20 : x
  2. Step 2: Convert to fraction form
    298,342.56/411,768 = 171,019.20/x
  3. Step 3: Cross multiply
    298,342.56x = 411,768 × 171,019.20
  4. Step 4: Simplify right side
    298,342.56x = 70,420,233,945.60
  5. Step 5: Solve for x
    x = 70,420,233,945.60/298,342.56
  6. Step 6: Final answer
    x = 236,038.18

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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.