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Finding the Fourth Proportional to 321,810.30, 482,699.76 and 119,445.81

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Solution

The fourth proportional to 321,810.30, 482,699.76 and 119,445.81 is: 179,162.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,810.30 : 482,699.76 = 119,445.81 : x
  2. Step 2: Convert to fraction form
    321,810.30/482,699.76 = 119,445.81/x
  3. Step 3: Cross multiply
    321,810.30x = 482,699.76 × 119,445.81
  4. Step 4: Simplify right side
    321,810.30x = 57,656,463,820.01
  5. Step 5: Solve for x
    x = 57,656,463,820.01/321,810.30
  6. Step 6: Final answer
    x = 179,162.89

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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.