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Finding the Fourth Proportional to 538,421.33, 743,026.34 and 296,712.57

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Solution

The fourth proportional to 538,421.33, 743,026.34 and 296,712.57 is: 409,466.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,421.33 : 743,026.34 = 296,712.57 : x
  2. Step 2: Convert to fraction form
    538,421.33/743,026.34 = 296,712.57/x
  3. Step 3: Cross multiply
    538,421.33x = 743,026.34 × 296,712.57
  4. Step 4: Simplify right side
    538,421.33x = 220,465,253,433.20
  5. Step 5: Solve for x
    x = 220,465,253,433.20/538,421.33
  6. Step 6: Final answer
    x = 409,466.05

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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.