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Finding the Fourth Proportional to 256,639.32, 384,442.25 and 214,935.98

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Solution

The fourth proportional to 256,639.32, 384,442.25 and 214,935.98 is: 321,971.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,639.32 : 384,442.25 = 214,935.98 : x
  2. Step 2: Convert to fraction form
    256,639.32/384,442.25 = 214,935.98/x
  3. Step 3: Cross multiply
    256,639.32x = 384,442.25 × 214,935.98
  4. Step 4: Simplify right side
    256,639.32x = 82,630,468,760.26
  5. Step 5: Solve for x
    x = 82,630,468,760.26/256,639.32
  6. Step 6: Final answer
    x = 321,971.20

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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.