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Finding the Fourth Proportional to 421,431.23, 632,041.59 and 165,315.84

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Solution

The fourth proportional to 421,431.23, 632,041.59 and 165,315.84 is: 247,932.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,431.23 : 632,041.59 = 165,315.84 : x
  2. Step 2: Convert to fraction form
    421,431.23/632,041.59 = 165,315.84/x
  3. Step 3: Cross multiply
    421,431.23x = 632,041.59 × 165,315.84
  4. Step 4: Simplify right side
    421,431.23x = 104,486,486,365.79
  5. Step 5: Solve for x
    x = 104,486,486,365.79/421,431.23
  6. Step 6: Final answer
    x = 247,932.47

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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.