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Finding the Fourth Proportional to 256,688.52, 384,712.02 and 123,533.03

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Solution

The fourth proportional to 256,688.52, 384,712.02 and 123,533.03 is: 185,145.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,688.52 : 384,712.02 = 123,533.03 : x
  2. Step 2: Convert to fraction form
    256,688.52/384,712.02 = 123,533.03/x
  3. Step 3: Cross multiply
    256,688.52x = 384,712.02 × 123,533.03
  4. Step 4: Simplify right side
    256,688.52x = 47,524,639,584.46
  5. Step 5: Solve for x
    x = 47,524,639,584.46/256,688.52
  6. Step 6: Final answer
    x = 185,145.17

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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.