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Finding the Fourth Proportional to 345,720, 477,093.60 and 194,822.40

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Solution

The fourth proportional to 345,720, 477,093.60 and 194,822.40 is: 268,854.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,720 : 477,093.60 = 194,822.40 : x
  2. Step 2: Convert to fraction form
    345,720/477,093.60 = 194,822.40/x
  3. Step 3: Cross multiply
    345,720x = 477,093.60 × 194,822.40
  4. Step 4: Simplify right side
    345,720x = 92,948,520,176.64
  5. Step 5: Solve for x
    x = 92,948,520,176.64/345,720
  6. Step 6: Final answer
    x = 268,854.91

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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.