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Finding the Fourth Proportional to 227,869, 314,485.95 and 137,270.71

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Solution

The fourth proportional to 227,869, 314,485.95 and 137,270.71 is: 189,449.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,869 : 314,485.95 = 137,270.71 : x
  2. Step 2: Convert to fraction form
    227,869/314,485.95 = 137,270.71/x
  3. Step 3: Cross multiply
    227,869x = 314,485.95 × 137,270.71
  4. Step 4: Simplify right side
    227,869x = 43,169,709,641.52
  5. Step 5: Solve for x
    x = 43,169,709,641.52/227,869
  6. Step 6: Final answer
    x = 189,449.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.