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Finding the Fourth Proportional to 287,628.51, 396,940.85 and 160,305.01

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Solution

The fourth proportional to 287,628.51, 396,940.85 and 160,305.01 is: 221,228.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,628.51 : 396,940.85 = 160,305.01 : x
  2. Step 2: Convert to fraction form
    287,628.51/396,940.85 = 160,305.01/x
  3. Step 3: Cross multiply
    287,628.51x = 396,940.85 × 160,305.01
  4. Step 4: Simplify right side
    287,628.51x = 63,631,606,928.66
  5. Step 5: Solve for x
    x = 63,631,606,928.66/287,628.51
  6. Step 6: Final answer
    x = 221,228.45

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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.