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Finding the Fourth Proportional to 825,122, 1,138,668.36 and 467,426

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Solution

The fourth proportional to 825,122, 1,138,668.36 and 467,426 is: 645,047.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,122 : 1,138,668.36 = 467,426 : x
  2. Step 2: Convert to fraction form
    825,122/1,138,668.36 = 467,426/x
  3. Step 3: Cross multiply
    825,122x = 1,138,668.36 × 467,426
  4. Step 4: Simplify right side
    825,122x = 532,243,196,841.36
  5. Step 5: Solve for x
    x = 532,243,196,841.36/825,122
  6. Step 6: Final answer
    x = 645,047.88

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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.