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Finding the Fourth Proportional to 294,496.79, 406,422.63 and 221,769.45

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Solution

The fourth proportional to 294,496.79, 406,422.63 and 221,769.45 is: 306,054.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,496.79 : 406,422.63 = 221,769.45 : x
  2. Step 2: Convert to fraction form
    294,496.79/406,422.63 = 221,769.45/x
  3. Step 3: Cross multiply
    294,496.79x = 406,422.63 × 221,769.45
  4. Step 4: Simplify right side
    294,496.79x = 90,132,123,122.65
  5. Step 5: Solve for x
    x = 90,132,123,122.65/294,496.79
  6. Step 6: Final answer
    x = 306,054.69

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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.