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Finding the Fourth Proportional to 577,835.40, 797,408.28 and 323,186.40

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Solution

The fourth proportional to 577,835.40, 797,408.28 and 323,186.40 is: 445,994.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,835.40 : 797,408.28 = 323,186.40 : x
  2. Step 2: Convert to fraction form
    577,835.40/797,408.28 = 323,186.40/x
  3. Step 3: Cross multiply
    577,835.40x = 797,408.28 × 323,186.40
  4. Step 4: Simplify right side
    577,835.40x = 257,711,511,343.39
  5. Step 5: Solve for x
    x = 257,711,511,343.39/577,835.40
  6. Step 6: Final answer
    x = 445,994.67

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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.