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Finding the Fourth Proportional to 315,211.44, 434,991.88 and 202,034.18

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Solution

The fourth proportional to 315,211.44, 434,991.88 and 202,034.18 is: 278,807.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,211.44 : 434,991.88 = 202,034.18 : x
  2. Step 2: Convert to fraction form
    315,211.44/434,991.88 = 202,034.18/x
  3. Step 3: Cross multiply
    315,211.44x = 434,991.88 × 202,034.18
  4. Step 4: Simplify right side
    315,211.44x = 87,883,227,782.46
  5. Step 5: Solve for x
    x = 87,883,227,782.46/315,211.44
  6. Step 6: Final answer
    x = 278,807.23

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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.