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Finding the Fourth Proportional to 287,666.28, 396,979.90 and 160,339.14

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Solution

The fourth proportional to 287,666.28, 396,979.90 and 160,339.14 is: 221,268.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,666.28 : 396,979.90 = 160,339.14 : x
  2. Step 2: Convert to fraction form
    287,666.28/396,979.90 = 160,339.14/x
  3. Step 3: Cross multiply
    287,666.28x = 396,979.90 × 160,339.14
  4. Step 4: Simplify right side
    287,666.28x = 63,651,415,763.29
  5. Step 5: Solve for x
    x = 63,651,415,763.29/287,666.28
  6. Step 6: Final answer
    x = 221,268.25

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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.