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Finding the Fourth Proportional to 256,603.24, 384,794.73 and 88,140.52

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Solution

The fourth proportional to 256,603.24, 384,794.73 and 88,140.52 is: 132,172.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,603.24 : 384,794.73 = 88,140.52 : x
  2. Step 2: Convert to fraction form
    256,603.24/384,794.73 = 88,140.52/x
  3. Step 3: Cross multiply
    256,603.24x = 384,794.73 × 88,140.52
  4. Step 4: Simplify right side
    256,603.24x = 33,916,007,595.46
  5. Step 5: Solve for x
    x = 33,916,007,595.46/256,603.24
  6. Step 6: Final answer
    x = 132,172.95

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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.