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Finding the Fourth Proportional to 256,094.20, 384,141.30 and 242,972.20

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Solution

The fourth proportional to 256,094.20, 384,141.30 and 242,972.20 is: 364,458.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,094.20 : 384,141.30 = 242,972.20 : x
  2. Step 2: Convert to fraction form
    256,094.20/384,141.30 = 242,972.20/x
  3. Step 3: Cross multiply
    256,094.20x = 384,141.30 × 242,972.20
  4. Step 4: Simplify right side
    256,094.20x = 93,335,656,771.86
  5. Step 5: Solve for x
    x = 93,335,656,771.86/256,094.20
  6. Step 6: Final answer
    x = 364,458.30

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1.5x scale

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.