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Finding the Fourth Proportional to 469,438.20, 647,823.42 and 254,577.60

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Solution

The fourth proportional to 469,438.20, 647,823.42 and 254,577.60 is: 351,316.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,438.20 : 647,823.42 = 254,577.60 : x
  2. Step 2: Convert to fraction form
    469,438.20/647,823.42 = 254,577.60/x
  3. Step 3: Cross multiply
    469,438.20x = 647,823.42 × 254,577.60
  4. Step 4: Simplify right side
    469,438.20x = 164,921,331,487.39
  5. Step 5: Solve for x
    x = 164,921,331,487.39/469,438.20
  6. Step 6: Final answer
    x = 351,316.39

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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.