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Finding the Fourth Proportional to 354,201.48, 488,798.40 and 193,056.66

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Solution

The fourth proportional to 354,201.48, 488,798.40 and 193,056.66 is: 266,418.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,201.48 : 488,798.40 = 193,056.66 : x
  2. Step 2: Convert to fraction form
    354,201.48/488,798.40 = 193,056.66/x
  3. Step 3: Cross multiply
    354,201.48x = 488,798.40 × 193,056.66
  4. Step 4: Simplify right side
    354,201.48x = 94,365,786,517.34
  5. Step 5: Solve for x
    x = 94,365,786,517.34/354,201.48
  6. Step 6: Final answer
    x = 266,418.39

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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.