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Finding the Fourth Proportional to 312,006.10, 468,009.15 and 192,255.70

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Solution

The fourth proportional to 312,006.10, 468,009.15 and 192,255.70 is: 288,383.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,006.10 : 468,009.15 = 192,255.70 : x
  2. Step 2: Convert to fraction form
    312,006.10/468,009.15 = 192,255.70/x
  3. Step 3: Cross multiply
    312,006.10x = 468,009.15 × 192,255.70
  4. Step 4: Simplify right side
    312,006.10x = 89,977,426,739.66
  5. Step 5: Solve for x
    x = 89,977,426,739.66/312,006.10
  6. Step 6: Final answer
    x = 288,383.55

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1.5x scale

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.