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Finding the Fourth Proportional to 312,700.56, 469,138.32 and 102,486.08

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Solution

The fourth proportional to 312,700.56, 469,138.32 and 102,486.08 is: 153,757.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,700.56 : 469,138.32 = 102,486.08 : x
  2. Step 2: Convert to fraction form
    312,700.56/469,138.32 = 102,486.08/x
  3. Step 3: Cross multiply
    312,700.56x = 469,138.32 × 102,486.08
  4. Step 4: Simplify right side
    312,700.56x = 48,080,147,394.59
  5. Step 5: Solve for x
    x = 48,080,147,394.59/312,700.56
  6. Step 6: Final answer
    x = 153,757.79

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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.