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Finding the Fourth Proportional to 613,056.40, 919,573.97 and 275,858.46

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Solution

The fourth proportional to 613,056.40, 919,573.97 and 275,858.46 is: 413,782.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,056.40 : 919,573.97 = 275,858.46 : x
  2. Step 2: Convert to fraction form
    613,056.40/919,573.97 = 275,858.46/x
  3. Step 3: Cross multiply
    613,056.40x = 919,573.97 × 275,858.46
  4. Step 4: Simplify right side
    613,056.40x = 253,672,257,840.99
  5. Step 5: Solve for x
    x = 253,672,257,840.99/613,056.40
  6. Step 6: Final answer
    x = 413,782.91

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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.