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Finding the Fourth Proportional to 219,865, 303,415.32 and 119,263

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Solution

The fourth proportional to 219,865, 303,415.32 and 119,263 is: 164,583.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,865 : 303,415.32 = 119,263 : x
  2. Step 2: Convert to fraction form
    219,865/303,415.32 = 119,263/x
  3. Step 3: Cross multiply
    219,865x = 303,415.32 × 119,263
  4. Step 4: Simplify right side
    219,865x = 36,186,221,309.16
  5. Step 5: Solve for x
    x = 36,186,221,309.16/219,865
  6. Step 6: Final answer
    x = 164,583.82

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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.