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Finding the Fourth Proportional to 256,030.94, 384,084.45 and 82,864.73

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Solution

The fourth proportional to 256,030.94, 384,084.45 and 82,864.73 is: 124,309.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,030.94 : 384,084.45 = 82,864.73 : x
  2. Step 2: Convert to fraction form
    256,030.94/384,084.45 = 82,864.73/x
  3. Step 3: Cross multiply
    256,030.94x = 384,084.45 × 82,864.73
  4. Step 4: Simplify right side
    256,030.94x = 31,827,055,206.66
  5. Step 5: Solve for x
    x = 31,827,055,206.66/256,030.94
  6. Step 6: Final answer
    x = 124,309.41

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1.5x scale

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.