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Finding the Fourth Proportional to 538,701.34, 743,412.64 and 296,992.42

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Solution

The fourth proportional to 538,701.34, 743,412.64 and 296,992.42 is: 409,852.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,701.34 : 743,412.64 = 296,992.42 : x
  2. Step 2: Convert to fraction form
    538,701.34/743,412.64 = 296,992.42/x
  3. Step 3: Cross multiply
    538,701.34x = 743,412.64 × 296,992.42
  4. Step 4: Simplify right side
    538,701.34x = 220,787,919,012.19
  5. Step 5: Solve for x
    x = 220,787,919,012.19/538,701.34
  6. Step 6: Final answer
    x = 409,852.18

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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.