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Finding the Fourth Proportional to 421,064.33, 631,599.23 and 168,366.05

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Solution

The fourth proportional to 421,064.33, 631,599.23 and 168,366.05 is: 252,550.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,064.33 : 631,599.23 = 168,366.05 : x
  2. Step 2: Convert to fraction form
    421,064.33/631,599.23 = 168,366.05/x
  3. Step 3: Cross multiply
    421,064.33x = 631,599.23 × 168,366.05
  4. Step 4: Simplify right side
    421,064.33x = 106,339,867,538.14
  5. Step 5: Solve for x
    x = 106,339,867,538.14/421,064.33
  6. Step 6: Final answer
    x = 252,550.17

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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.