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Finding the Fourth Proportional to 256,155.51, 384,251.72 and 98,383.95

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Solution

The fourth proportional to 256,155.51, 384,251.72 and 98,383.95 is: 147,583.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,155.51 : 384,251.72 = 98,383.95 : x
  2. Step 2: Convert to fraction form
    256,155.51/384,251.72 = 98,383.95/x
  3. Step 3: Cross multiply
    256,155.51x = 384,251.72 × 98,383.95
  4. Step 4: Simplify right side
    256,155.51x = 37,804,202,007.89
  5. Step 5: Solve for x
    x = 37,804,202,007.89/256,155.51
  6. Step 6: Final answer
    x = 147,583.01

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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.