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Finding the Fourth Proportional to 354,193.72, 488,787.70 and 193,048.90

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Solution

The fourth proportional to 354,193.72, 488,787.70 and 193,048.90 is: 266,407.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,193.72 : 488,787.70 = 193,048.90 : x
  2. Step 2: Convert to fraction form
    354,193.72/488,787.70 = 193,048.90/x
  3. Step 3: Cross multiply
    354,193.72x = 488,787.70 × 193,048.90
  4. Step 4: Simplify right side
    354,193.72x = 94,359,927,818.53
  5. Step 5: Solve for x
    x = 94,359,927,818.53/354,193.72
  6. Step 6: Final answer
    x = 266,407.68

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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.