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Finding the Fourth Proportional to 354,143.87, 488,669.24 and 199,073.24

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Solution

The fourth proportional to 354,143.87, 488,669.24 and 199,073.24 is: 274,693.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,143.87 : 488,669.24 = 199,073.24 : x
  2. Step 2: Convert to fraction form
    354,143.87/488,669.24 = 199,073.24/x
  3. Step 3: Cross multiply
    354,143.87x = 488,669.24 × 199,073.24
  4. Step 4: Simplify right side
    354,143.87x = 97,280,966,287.81
  5. Step 5: Solve for x
    x = 97,280,966,287.81/354,143.87
  6. Step 6: Final answer
    x = 274,693.35

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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.