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Finding the Fourth Proportional to 384,770.84, 531,131.84 and 344,413.40

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Solution

The fourth proportional to 384,770.84, 531,131.84 and 344,413.40 is: 475,423.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,770.84 : 531,131.84 = 344,413.40 : x
  2. Step 2: Convert to fraction form
    384,770.84/531,131.84 = 344,413.40/x
  3. Step 3: Cross multiply
    384,770.84x = 531,131.84 × 344,413.40
  4. Step 4: Simplify right side
    384,770.84x = 182,928,922,862.66
  5. Step 5: Solve for x
    x = 182,928,922,862.66/384,770.84
  6. Step 6: Final answer
    x = 475,423.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.