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Finding the Fourth Proportional to 256,603.77, 384,921.41 and 98,832.69

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Solution

The fourth proportional to 256,603.77, 384,921.41 and 98,832.69 is: 148,255.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,603.77 : 384,921.41 = 98,832.69 : x
  2. Step 2: Convert to fraction form
    256,603.77/384,921.41 = 98,832.69/x
  3. Step 3: Cross multiply
    256,603.77x = 384,921.41 × 98,832.69
  4. Step 4: Simplify right side
    256,603.77x = 38,042,817,894.73
  5. Step 5: Solve for x
    x = 38,042,817,894.73/256,603.77
  6. Step 6: Final answer
    x = 148,255.10

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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.