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Finding the Fourth Proportional to 287,688.60, 397,015.47 and 160,350.48

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Solution

The fourth proportional to 287,688.60, 397,015.47 and 160,350.48 is: 221,286.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,688.60 : 397,015.47 = 160,350.48 : x
  2. Step 2: Convert to fraction form
    287,688.60/397,015.47 = 160,350.48/x
  3. Step 3: Cross multiply
    287,688.60x = 397,015.47 × 160,350.48
  4. Step 4: Simplify right side
    287,688.60x = 63,661,621,181.93
  5. Step 5: Solve for x
    x = 63,661,621,181.93/287,688.60
  6. Step 6: Final answer
    x = 221,286.56

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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.