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Finding the Fourth Proportional to 256,082.40, 384,072.40 and 122,962.40

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Solution

The fourth proportional to 256,082.40, 384,072.40 and 122,962.40 is: 184,419.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,082.40 : 384,072.40 = 122,962.40 : x
  2. Step 2: Convert to fraction form
    256,082.40/384,072.40 = 122,962.40/x
  3. Step 3: Cross multiply
    256,082.40x = 384,072.40 × 122,962.40
  4. Step 4: Simplify right side
    256,082.40x = 47,226,464,077.76
  5. Step 5: Solve for x
    x = 47,226,464,077.76/256,082.40
  6. Step 6: Final answer
    x = 184,419.02

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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.