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Finding the Fourth Proportional to 402,968.26, 556,078.65 and 221,668.69

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Solution

The fourth proportional to 402,968.26, 556,078.65 and 221,668.69 is: 305,893.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,968.26 : 556,078.65 = 221,668.69 : x
  2. Step 2: Convert to fraction form
    402,968.26/556,078.65 = 221,668.69/x
  3. Step 3: Cross multiply
    402,968.26x = 556,078.65 × 221,668.69
  4. Step 4: Simplify right side
    402,968.26x = 123,265,225,950.55
  5. Step 5: Solve for x
    x = 123,265,225,950.55/402,968.26
  6. Step 6: Final answer
    x = 305,893.14

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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.