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Finding the Fourth Proportional to 426,208.47, 639,289.32 and 257,683.56

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Solution

The fourth proportional to 426,208.47, 639,289.32 and 257,683.56 is: 386,511.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,208.47 : 639,289.32 = 257,683.56 : x
  2. Step 2: Convert to fraction form
    426,208.47/639,289.32 = 257,683.56/x
  3. Step 3: Cross multiply
    426,208.47x = 639,289.32 × 257,683.56
  4. Step 4: Simplify right side
    426,208.47x = 164,734,347,847.58
  5. Step 5: Solve for x
    x = 164,734,347,847.58/426,208.47
  6. Step 6: Final answer
    x = 386,511.20

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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.