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Finding the Fourth Proportional to 546,787.20, 821,055.60 and 413,817.60

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Solution

The fourth proportional to 546,787.20, 821,055.60 and 413,817.60 is: 621,388.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,787.20 : 821,055.60 = 413,817.60 : x
  2. Step 2: Convert to fraction form
    546,787.20/821,055.60 = 413,817.60/x
  3. Step 3: Cross multiply
    546,787.20x = 821,055.60 × 413,817.60
  4. Step 4: Simplify right side
    546,787.20x = 339,767,257,858.56
  5. Step 5: Solve for x
    x = 339,767,257,858.56/546,787.20
  6. Step 6: Final answer
    x = 621,388.46

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1.5x scale

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.