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Finding the Fourth Proportional to 354,129.10, 488,683.94 and 192,980.71

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Solution

The fourth proportional to 354,129.10, 488,683.94 and 192,980.71 is: 266,305.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,129.10 : 488,683.94 = 192,980.71 : x
  2. Step 2: Convert to fraction form
    354,129.10/488,683.94 = 192,980.71/x
  3. Step 3: Cross multiply
    354,129.10x = 488,683.94 × 192,980.71
  4. Step 4: Simplify right side
    354,129.10x = 94,306,573,352.75
  5. Step 5: Solve for x
    x = 94,306,573,352.75/354,129.10
  6. Step 6: Final answer
    x = 266,305.63

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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.