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Finding the Fourth Proportional to 309,523.59, 426,961.08 and 194,620.08

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Solution

The fourth proportional to 309,523.59, 426,961.08 and 194,620.08 is: 268,461.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,523.59 : 426,961.08 = 194,620.08 : x
  2. Step 2: Convert to fraction form
    309,523.59/426,961.08 = 194,620.08/x
  3. Step 3: Cross multiply
    309,523.59x = 426,961.08 × 194,620.08
  4. Step 4: Simplify right side
    309,523.59x = 83,095,199,546.49
  5. Step 5: Solve for x
    x = 83,095,199,546.49/309,523.59
  6. Step 6: Final answer
    x = 268,461.60

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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.