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Finding the Fourth Proportional to 309,633.58, 464,494.20 and 99,222.40

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Solution

The fourth proportional to 309,633.58, 464,494.20 and 99,222.40 is: 148,847.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,633.58 : 464,494.20 = 99,222.40 : x
  2. Step 2: Convert to fraction form
    309,633.58/464,494.20 = 99,222.40/x
  3. Step 3: Cross multiply
    309,633.58x = 464,494.20 × 99,222.40
  4. Step 4: Simplify right side
    309,633.58x = 46,088,229,310.08
  5. Step 5: Solve for x
    x = 46,088,229,310.08/309,633.58
  6. Step 6: Final answer
    x = 148,847.65

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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.