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Finding the Fourth Proportional to 312,243.88, 430,790.82 and 203,298.47

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Solution

The fourth proportional to 312,243.88, 430,790.82 and 203,298.47 is: 280,483.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,243.88 : 430,790.82 = 203,298.47 : x
  2. Step 2: Convert to fraction form
    312,243.88/430,790.82 = 203,298.47/x
  3. Step 3: Cross multiply
    312,243.88x = 430,790.82 × 203,298.47
  4. Step 4: Simplify right side
    312,243.88x = 87,579,114,596.05
  5. Step 5: Solve for x
    x = 87,579,114,596.05/312,243.88
  6. Step 6: Final answer
    x = 280,483.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.