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Finding the Fourth Proportional to 287,339.91, 396,541.37 and 160,015.50

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Solution

The fourth proportional to 287,339.91, 396,541.37 and 160,015.50 is: 220,828.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,339.91 : 396,541.37 = 160,015.50 : x
  2. Step 2: Convert to fraction form
    287,339.91/396,541.37 = 160,015.50/x
  3. Step 3: Cross multiply
    287,339.91x = 396,541.37 × 160,015.50
  4. Step 4: Simplify right side
    287,339.91x = 63,452,765,991.27
  5. Step 5: Solve for x
    x = 63,452,765,991.27/287,339.91
  6. Step 6: Final answer
    x = 220,828.24

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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.