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Finding the Fourth Proportional to 456,321.78, 684,430.38 and 119,394.96

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Solution

The fourth proportional to 456,321.78, 684,430.38 and 119,394.96 is: 179,078.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,321.78 : 684,430.38 = 119,394.96 : x
  2. Step 2: Convert to fraction form
    456,321.78/684,430.38 = 119,394.96/x
  3. Step 3: Cross multiply
    456,321.78x = 684,430.38 × 119,394.96
  4. Step 4: Simplify right side
    456,321.78x = 81,717,537,842.88
  5. Step 5: Solve for x
    x = 81,717,537,842.88/456,321.78
  6. Step 6: Final answer
    x = 179,078.76

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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.