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Finding the Fourth Proportional to 209,518.96, 314,102.40 and 169,978

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Solution

The fourth proportional to 209,518.96, 314,102.40 and 169,978 is: 254,824.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,518.96 : 314,102.40 = 169,978 : x
  2. Step 2: Convert to fraction form
    209,518.96/314,102.40 = 169,978/x
  3. Step 3: Cross multiply
    209,518.96x = 314,102.40 × 169,978
  4. Step 4: Simplify right side
    209,518.96x = 53,390,497,747.20
  5. Step 5: Solve for x
    x = 53,390,497,747.20/209,518.96
  6. Step 6: Final answer
    x = 254,824.18

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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.