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Finding the Fourth Proportional to 697,576, 1,046,373.84 and 198,940

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Solution

The fourth proportional to 697,576, 1,046,373.84 and 198,940 is: 298,412.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,576 : 1,046,373.84 = 198,940 : x
  2. Step 2: Convert to fraction form
    697,576/1,046,373.84 = 198,940/x
  3. Step 3: Cross multiply
    697,576x = 1,046,373.84 × 198,940
  4. Step 4: Simplify right side
    697,576x = 208,165,611,729.60
  5. Step 5: Solve for x
    x = 208,165,611,729.60/697,576
  6. Step 6: Final answer
    x = 298,412.81

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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.