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Finding the Fourth Proportional to 456,814.76, 685,172.90 and 119,889.19

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Solution

The fourth proportional to 456,814.76, 685,172.90 and 119,889.19 is: 179,820.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,814.76 : 685,172.90 = 119,889.19 : x
  2. Step 2: Convert to fraction form
    456,814.76/685,172.90 = 119,889.19/x
  3. Step 3: Cross multiply
    456,814.76x = 685,172.90 × 119,889.19
  4. Step 4: Simplify right side
    456,814.76x = 82,144,822,577.74
  5. Step 5: Solve for x
    x = 82,144,822,577.74/456,814.76
  6. Step 6: Final answer
    x = 179,820.86

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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.