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Finding the Fourth Proportional to 421,645.74, 632,477.82 and 169,045.19

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Solution

The fourth proportional to 421,645.74, 632,477.82 and 169,045.19 is: 253,571.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,645.74 : 632,477.82 = 169,045.19 : x
  2. Step 2: Convert to fraction form
    421,645.74/632,477.82 = 169,045.19/x
  3. Step 3: Cross multiply
    421,645.74x = 632,477.82 × 169,045.19
  4. Step 4: Simplify right side
    421,645.74x = 106,917,330,090.30
  5. Step 5: Solve for x
    x = 106,917,330,090.30/421,645.74
  6. Step 6: Final answer
    x = 253,571.47

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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.