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Finding the Fourth Proportional to 312,155.74, 430,669.48 and 203,210.34

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Solution

The fourth proportional to 312,155.74, 430,669.48 and 203,210.34 is: 280,361.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,155.74 : 430,669.48 = 203,210.34 : x
  2. Step 2: Convert to fraction form
    312,155.74/430,669.48 = 203,210.34/x
  3. Step 3: Cross multiply
    312,155.74x = 430,669.48 × 203,210.34
  4. Step 4: Simplify right side
    312,155.74x = 87,516,491,458.42
  5. Step 5: Solve for x
    x = 87,516,491,458.42/312,155.74
  6. Step 6: Final answer
    x = 280,361.63

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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.