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Finding the Fourth Proportional to 287,743.32, 397,081.44 and 160,415.64

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Solution

The fourth proportional to 287,743.32, 397,081.44 and 160,415.64 is: 221,371.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,743.32 : 397,081.44 = 160,415.64 : x
  2. Step 2: Convert to fraction form
    287,743.32/397,081.44 = 160,415.64/x
  3. Step 3: Cross multiply
    287,743.32x = 397,081.44 × 160,415.64
  4. Step 4: Simplify right side
    287,743.32x = 63,698,073,329.72
  5. Step 5: Solve for x
    x = 63,698,073,329.72/287,743.32
  6. Step 6: Final answer
    x = 221,371.16

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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.