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Finding the Fourth Proportional to 223,097.65, 308,480.78 and 219,492.45

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Solution

The fourth proportional to 223,097.65, 308,480.78 and 219,492.45 is: 303,495.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,097.65 : 308,480.78 = 219,492.45 : x
  2. Step 2: Convert to fraction form
    223,097.65/308,480.78 = 219,492.45/x
  3. Step 3: Cross multiply
    223,097.65x = 308,480.78 × 219,492.45
  4. Step 4: Simplify right side
    223,097.65x = 67,709,202,728.84
  5. Step 5: Solve for x
    x = 67,709,202,728.84/223,097.65
  6. Step 6: Final answer
    x = 303,495.82

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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.