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Finding the Fourth Proportional to 345,843, 477,263.34 and 194,940

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Solution

The fourth proportional to 345,843, 477,263.34 and 194,940 is: 269,017.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,843 : 477,263.34 = 194,940 : x
  2. Step 2: Convert to fraction form
    345,843/477,263.34 = 194,940/x
  3. Step 3: Cross multiply
    345,843x = 477,263.34 × 194,940
  4. Step 4: Simplify right side
    345,843x = 93,037,715,499.60
  5. Step 5: Solve for x
    x = 93,037,715,499.60/345,843
  6. Step 6: Final answer
    x = 269,017.20

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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.