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Finding the Fourth Proportional to 312,006.40, 468,009.60 and 193,292.80

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Solution

The fourth proportional to 312,006.40, 468,009.60 and 193,292.80 is: 289,939.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,006.40 : 468,009.60 = 193,292.80 : x
  2. Step 2: Convert to fraction form
    312,006.40/468,009.60 = 193,292.80/x
  3. Step 3: Cross multiply
    312,006.40x = 468,009.60 × 193,292.80
  4. Step 4: Simplify right side
    312,006.40x = 90,462,886,010.88
  5. Step 5: Solve for x
    x = 90,462,886,010.88/312,006.40
  6. Step 6: Final answer
    x = 289,939.20

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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.