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Finding the Fourth Proportional to 294,580.05, 406,537.86 and 221,854.65

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Solution

The fourth proportional to 294,580.05, 406,537.86 and 221,854.65 is: 306,172.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,580.05 : 406,537.86 = 221,854.65 : x
  2. Step 2: Convert to fraction form
    294,580.05/406,537.86 = 221,854.65/x
  3. Step 3: Cross multiply
    294,580.05x = 406,537.86 × 221,854.65
  4. Step 4: Simplify right side
    294,580.05x = 90,192,314,642.05
  5. Step 5: Solve for x
    x = 90,192,314,642.05/294,580.05
  6. Step 6: Final answer
    x = 306,172.51

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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.