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Finding the Fourth Proportional to 345,843, 477,263.34 and 194,945.40

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Solution

The fourth proportional to 345,843, 477,263.34 and 194,945.40 is: 269,024.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,843 : 477,263.34 = 194,945.40 : x
  2. Step 2: Convert to fraction form
    345,843/477,263.34 = 194,945.40/x
  3. Step 3: Cross multiply
    345,843x = 477,263.34 × 194,945.40
  4. Step 4: Simplify right side
    345,843x = 93,040,292,721.64
  5. Step 5: Solve for x
    x = 93,040,292,721.64/345,843
  6. Step 6: Final answer
    x = 269,024.65

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1.5x scale

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.