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Finding the Fourth Proportional to 368,944.66, 509,256.54 and 216,018.70

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Solution

The fourth proportional to 368,944.66, 509,256.54 and 216,018.70 is: 298,171.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,944.66 : 509,256.54 = 216,018.70 : x
  2. Step 2: Convert to fraction form
    368,944.66/509,256.54 = 216,018.70/x
  3. Step 3: Cross multiply
    368,944.66x = 509,256.54 × 216,018.70
  4. Step 4: Simplify right side
    368,944.66x = 110,008,935,737.30
  5. Step 5: Solve for x
    x = 110,008,935,737.30/368,944.66
  6. Step 6: Final answer
    x = 298,171.91

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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.