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Finding the Fourth Proportional to 288,117.54, 397,629.81 and 160,804.98

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Solution

The fourth proportional to 288,117.54, 397,629.81 and 160,804.98 is: 221,926.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,117.54 : 397,629.81 = 160,804.98 : x
  2. Step 2: Convert to fraction form
    288,117.54/397,629.81 = 160,804.98/x
  3. Step 3: Cross multiply
    288,117.54x = 397,629.81 × 160,804.98
  4. Step 4: Simplify right side
    288,117.54x = 63,940,853,644.45
  5. Step 5: Solve for x
    x = 63,940,853,644.45/288,117.54
  6. Step 6: Final answer
    x = 221,926.28

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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.