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Finding the Fourth Proportional to 412,842.15, 619,263.23 and 278,321.15

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Solution

The fourth proportional to 412,842.15, 619,263.23 and 278,321.15 is: 417,481.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,842.15 : 619,263.23 = 278,321.15 : x
  2. Step 2: Convert to fraction form
    412,842.15/619,263.23 = 278,321.15/x
  3. Step 3: Cross multiply
    412,842.15x = 619,263.23 × 278,321.15
  4. Step 4: Simplify right side
    412,842.15x = 172,354,050,999.51
  5. Step 5: Solve for x
    x = 172,354,050,999.51/412,842.15
  6. Step 6: Final answer
    x = 417,481.72

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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.