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Finding the Fourth Proportional to 256,097.20, 384,145.80 and 203,220.40

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Solution

The fourth proportional to 256,097.20, 384,145.80 and 203,220.40 is: 304,830.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,097.20 : 384,145.80 = 203,220.40 : x
  2. Step 2: Convert to fraction form
    256,097.20/384,145.80 = 203,220.40/x
  3. Step 3: Cross multiply
    256,097.20x = 384,145.80 × 203,220.40
  4. Step 4: Simplify right side
    256,097.20x = 78,066,263,134.32
  5. Step 5: Solve for x
    x = 78,066,263,134.32/256,097.20
  6. Step 6: Final answer
    x = 304,830.60

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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.