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Finding the Fourth Proportional to 311,305.83, 464,379.24 and 302,128.63

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Solution

The fourth proportional to 311,305.83, 464,379.24 and 302,128.63 is: 450,689.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,305.83 : 464,379.24 = 302,128.63 : x
  2. Step 2: Convert to fraction form
    311,305.83/464,379.24 = 302,128.63/x
  3. Step 3: Cross multiply
    311,305.83x = 464,379.24 × 302,128.63
  4. Step 4: Simplify right side
    311,305.83x = 140,302,263,581.64
  5. Step 5: Solve for x
    x = 140,302,263,581.64/311,305.83
  6. Step 6: Final answer
    x = 450,689.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.