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Finding the Fourth Proportional to 354,090.70, 488,638.92 and 192,946.78

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Solution

The fourth proportional to 354,090.70, 488,638.92 and 192,946.78 is: 266,263.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,090.70 : 488,638.92 = 192,946.78 : x
  2. Step 2: Convert to fraction form
    354,090.70/488,638.92 = 192,946.78/x
  3. Step 3: Cross multiply
    354,090.70x = 488,638.92 × 192,946.78
  4. Step 4: Simplify right side
    354,090.70x = 94,281,306,196.68
  5. Step 5: Solve for x
    x = 94,281,306,196.68/354,090.70
  6. Step 6: Final answer
    x = 266,263.15

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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.