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Finding the Fourth Proportional to 287,673.44, 396,980.16 and 180,301.44

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Solution

The fourth proportional to 287,673.44, 396,980.16 and 180,301.44 is: 248,810.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,673.44 : 396,980.16 = 180,301.44 : x
  2. Step 2: Convert to fraction form
    287,673.44/396,980.16 = 180,301.44/x
  3. Step 3: Cross multiply
    287,673.44x = 396,980.16 × 180,301.44
  4. Step 4: Simplify right side
    287,673.44x = 71,576,094,499.43
  5. Step 5: Solve for x
    x = 71,576,094,499.43/287,673.44
  6. Step 6: Final answer
    x = 248,810.23

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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.