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Finding the Fourth Proportional to 345,872.40, 477,410.28 and 202,678.58

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Solution

The fourth proportional to 345,872.40, 477,410.28 and 202,678.58 is: 279,758.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,872.40 : 477,410.28 = 202,678.58 : x
  2. Step 2: Convert to fraction form
    345,872.40/477,410.28 = 202,678.58/x
  3. Step 3: Cross multiply
    345,872.40x = 477,410.28 × 202,678.58
  4. Step 4: Simplify right side
    345,872.40x = 96,760,837,627.80
  5. Step 5: Solve for x
    x = 96,760,837,627.80/345,872.40
  6. Step 6: Final answer
    x = 279,758.77

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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.