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Finding the Fourth Proportional to 309,597.72, 464,507.24 and 188,265.12

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Solution

The fourth proportional to 309,597.72, 464,507.24 and 188,265.12 is: 282,464.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,597.72 : 464,507.24 = 188,265.12 : x
  2. Step 2: Convert to fraction form
    309,597.72/464,507.24 = 188,265.12/x
  3. Step 3: Cross multiply
    309,597.72x = 464,507.24 × 188,265.12
  4. Step 4: Simplify right side
    309,597.72x = 87,450,511,279.47
  5. Step 5: Solve for x
    x = 87,450,511,279.47/309,597.72
  6. Step 6: Final answer
    x = 282,464.97

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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.