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Finding the Fourth Proportional to 218,898.65, 301,965.21 and 178,108.40

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Solution

The fourth proportional to 218,898.65, 301,965.21 and 178,108.40 is: 245,696.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,898.65 : 301,965.21 = 178,108.40 : x
  2. Step 2: Convert to fraction form
    218,898.65/301,965.21 = 178,108.40/x
  3. Step 3: Cross multiply
    218,898.65x = 301,965.21 × 178,108.40
  4. Step 4: Simplify right side
    218,898.65x = 53,782,538,898.94
  5. Step 5: Solve for x
    x = 53,782,538,898.94/218,898.65
  6. Step 6: Final answer
    x = 245,696.08

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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.