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Finding the Fourth Proportional to 312,040.80, 468,323.78 and 292,357.80

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Solution

The fourth proportional to 312,040.80, 468,323.78 and 292,357.80 is: 438,782.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,040.80 : 468,323.78 = 292,357.80 : x
  2. Step 2: Convert to fraction form
    312,040.80/468,323.78 = 292,357.80/x
  3. Step 3: Cross multiply
    312,040.80x = 468,323.78 × 292,357.80
  4. Step 4: Simplify right side
    312,040.80x = 136,918,108,546.70
  5. Step 5: Solve for x
    x = 136,918,108,546.70/312,040.80
  6. Step 6: Final answer
    x = 438,782.71

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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.