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Finding the Fourth Proportional to 309,431.92, 464,206.20 and 220,464.76

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Solution

The fourth proportional to 309,431.92, 464,206.20 and 220,464.76 is: 330,738.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,431.92 : 464,206.20 = 220,464.76 : x
  2. Step 2: Convert to fraction form
    309,431.92/464,206.20 = 220,464.76/x
  3. Step 3: Cross multiply
    309,431.92x = 464,206.20 × 220,464.76
  4. Step 4: Simplify right side
    309,431.92x = 102,341,108,473.51
  5. Step 5: Solve for x
    x = 102,341,108,473.51/309,431.92
  6. Step 6: Final answer
    x = 330,738.69

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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.