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Finding the Fourth Proportional to 287,698.60, 397,029.30 and 160,360.48

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Solution

The fourth proportional to 287,698.60, 397,029.30 and 160,360.48 is: 221,300.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,698.60 : 397,029.30 = 160,360.48 : x
  2. Step 2: Convert to fraction form
    287,698.60/397,029.30 = 160,360.48/x
  3. Step 3: Cross multiply
    287,698.60x = 397,029.30 × 160,360.48
  4. Step 4: Simplify right side
    287,698.60x = 63,667,809,122.06
  5. Step 5: Solve for x
    x = 63,667,809,122.06/287,698.60
  6. Step 6: Final answer
    x = 221,300.38

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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.