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Finding the Fourth Proportional to 675,941, 932,799.42 and 421,292

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Solution

The fourth proportional to 675,941, 932,799.42 and 421,292 is: 581,383.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,941 : 932,799.42 = 421,292 : x
  2. Step 2: Convert to fraction form
    675,941/932,799.42 = 421,292/x
  3. Step 3: Cross multiply
    675,941x = 932,799.42 × 421,292
  4. Step 4: Simplify right side
    675,941x = 392,980,933,250.64
  5. Step 5: Solve for x
    x = 392,980,933,250.64/675,941
  6. Step 6: Final answer
    x = 581,383.48

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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.