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Finding the Fourth Proportional to 345,877, 477,317.55 and 194,974

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Solution

The fourth proportional to 345,877, 477,317.55 and 194,974 is: 269,068.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,877 : 477,317.55 = 194,974 : x
  2. Step 2: Convert to fraction form
    345,877/477,317.55 = 194,974/x
  3. Step 3: Cross multiply
    345,877x = 477,317.55 × 194,974
  4. Step 4: Simplify right side
    345,877x = 93,064,511,993.70
  5. Step 5: Solve for x
    x = 93,064,511,993.70/345,877
  6. Step 6: Final answer
    x = 269,068.23

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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.