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Finding the Fourth Proportional to 518,500.31, 777,749.49 and 202,735.76

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Solution

The fourth proportional to 518,500.31, 777,749.49 and 202,735.76 is: 304,103.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,500.31 : 777,749.49 = 202,735.76 : x
  2. Step 2: Convert to fraction form
    518,500.31/777,749.49 = 202,735.76/x
  3. Step 3: Cross multiply
    518,500.31x = 777,749.49 × 202,735.76
  4. Step 4: Simplify right side
    518,500.31x = 157,677,630,056.02
  5. Step 5: Solve for x
    x = 157,677,630,056.02/518,500.31
  6. Step 6: Final answer
    x = 304,103.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.