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Finding the Fourth Proportional to 256,152.90, 384,338.70 and 122,964.60

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Solution

The fourth proportional to 256,152.90, 384,338.70 and 122,964.60 is: 184,499.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,152.90 : 384,338.70 = 122,964.60 : x
  2. Step 2: Convert to fraction form
    256,152.90/384,338.70 = 122,964.60/x
  3. Step 3: Cross multiply
    256,152.90x = 384,338.70 × 122,964.60
  4. Step 4: Simplify right side
    256,152.90x = 47,260,054,510.02
  5. Step 5: Solve for x
    x = 47,260,054,510.02/256,152.90
  6. Step 6: Final answer
    x = 184,499.39

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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.