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Finding the Fourth Proportional to 216,223.64, 298,388.52 and 120,730.28

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Solution

The fourth proportional to 216,223.64, 298,388.52 and 120,730.28 is: 166,607.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,223.64 : 298,388.52 = 120,730.28 : x
  2. Step 2: Convert to fraction form
    216,223.64/298,388.52 = 120,730.28/x
  3. Step 3: Cross multiply
    216,223.64x = 298,388.52 × 120,730.28
  4. Step 4: Simplify right side
    216,223.64x = 36,024,529,568.39
  5. Step 5: Solve for x
    x = 36,024,529,568.39/216,223.64
  6. Step 6: Final answer
    x = 166,607.73

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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.