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Finding the Fourth Proportional to 491,135.40, 677,362.50 and 289,737

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Solution

The fourth proportional to 491,135.40, 677,362.50 and 289,737 is: 399,598.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,135.40 : 677,362.50 = 289,737 : x
  2. Step 2: Convert to fraction form
    491,135.40/677,362.50 = 289,737/x
  3. Step 3: Cross multiply
    491,135.40x = 677,362.50 × 289,737
  4. Step 4: Simplify right side
    491,135.40x = 196,256,978,662.50
  5. Step 5: Solve for x
    x = 196,256,978,662.50/491,135.40
  6. Step 6: Final answer
    x = 399,598.52

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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.