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Finding the Fourth Proportional to 256,845.80, 385,268.70 and 194,637.80

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Solution

The fourth proportional to 256,845.80, 385,268.70 and 194,637.80 is: 291,956.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,845.80 : 385,268.70 = 194,637.80 : x
  2. Step 2: Convert to fraction form
    256,845.80/385,268.70 = 194,637.80/x
  3. Step 3: Cross multiply
    256,845.80x = 385,268.70 × 194,637.80
  4. Step 4: Simplify right side
    256,845.80x = 74,987,852,176.86
  5. Step 5: Solve for x
    x = 74,987,852,176.86/256,845.80
  6. Step 6: Final answer
    x = 291,956.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.