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Finding the Fourth Proportional to 697,740, 1,046,619.72 and 199,104

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Solution

The fourth proportional to 697,740, 1,046,619.72 and 199,104 is: 298,658.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,740 : 1,046,619.72 = 199,104 : x
  2. Step 2: Convert to fraction form
    697,740/1,046,619.72 = 199,104/x
  3. Step 3: Cross multiply
    697,740x = 1,046,619.72 × 199,104
  4. Step 4: Simplify right side
    697,740x = 208,386,172,730.88
  5. Step 5: Solve for x
    x = 208,386,172,730.88/697,740
  6. Step 6: Final answer
    x = 298,658.77

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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.