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Finding the Fourth Proportional to 345,896.16, 477,455.76 and 202,702.56

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Solution

The fourth proportional to 345,896.16, 477,455.76 and 202,702.56 is: 279,799.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,896.16 : 477,455.76 = 202,702.56 : x
  2. Step 2: Convert to fraction form
    345,896.16/477,455.76 = 202,702.56/x
  3. Step 3: Cross multiply
    345,896.16x = 477,455.76 × 202,702.56
  4. Step 4: Simplify right side
    345,896.16x = 96,781,504,838.75
  5. Step 5: Solve for x
    x = 96,781,504,838.75/345,896.16
  6. Step 6: Final answer
    x = 279,799.30

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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.