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Finding the Fourth Proportional to 213,241.40, 319,657.30 and 165,830.20

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Solution

The fourth proportional to 213,241.40, 319,657.30 and 165,830.20 is: 248,586.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,241.40 : 319,657.30 = 165,830.20 : x
  2. Step 2: Convert to fraction form
    213,241.40/319,657.30 = 165,830.20/x
  3. Step 3: Cross multiply
    213,241.40x = 319,657.30 × 165,830.20
  4. Step 4: Simplify right side
    213,241.40x = 53,008,833,990.46
  5. Step 5: Solve for x
    x = 53,008,833,990.46/213,241.40
  6. Step 6: Final answer
    x = 248,586.03

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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.