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Finding the Fourth Proportional to 460,602, 690,903 and 197,946

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Solution

The fourth proportional to 460,602, 690,903 and 197,946 is: 296,919

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,602 : 690,903 = 197,946 : x
  2. Step 2: Convert to fraction form
    460,602/690,903 = 197,946/x
  3. Step 3: Cross multiply
    460,602x = 690,903 × 197,946
  4. Step 4: Simplify right side
    460,602x = 136,761,485,238
  5. Step 5: Solve for x
    x = 136,761,485,238/460,602
  6. Step 6: Final answer
    x = 296,919

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.