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Finding the Fourth Proportional to 354,148.66, 488,669.25 and 199,069.36

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Solution

The fourth proportional to 354,148.66, 488,669.25 and 199,069.36 is: 274,684.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,148.66 : 488,669.25 = 199,069.36 : x
  2. Step 2: Convert to fraction form
    354,148.66/488,669.25 = 199,069.36/x
  3. Step 3: Cross multiply
    354,148.66x = 488,669.25 × 199,069.36
  4. Step 4: Simplify right side
    354,148.66x = 97,279,074,849.18
  5. Step 5: Solve for x
    x = 97,279,074,849.18/354,148.66
  6. Step 6: Final answer
    x = 274,684.29

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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.