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Finding the Fourth Proportional to 474,923.68, 712,379.52 and 190,740

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Solution

The fourth proportional to 474,923.68, 712,379.52 and 190,740 is: 286,107.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,923.68 : 712,379.52 = 190,740 : x
  2. Step 2: Convert to fraction form
    474,923.68/712,379.52 = 190,740/x
  3. Step 3: Cross multiply
    474,923.68x = 712,379.52 × 190,740
  4. Step 4: Simplify right side
    474,923.68x = 135,879,269,644.80
  5. Step 5: Solve for x
    x = 135,879,269,644.80/474,923.68
  6. Step 6: Final answer
    x = 286,107.59

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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.