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Finding the Fourth Proportional to 550,413.23, 824,823 and 379,459.46

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Solution

The fourth proportional to 550,413.23, 824,823 and 379,459.46 is: 568,639.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,413.23 : 824,823 = 379,459.46 : x
  2. Step 2: Convert to fraction form
    550,413.23/824,823 = 379,459.46/x
  3. Step 3: Cross multiply
    550,413.23x = 824,823 × 379,459.46
  4. Step 4: Simplify right side
    550,413.23x = 312,986,886,051.47
  5. Step 5: Solve for x
    x = 312,986,886,051.47/550,413.23
  6. Step 6: Final answer
    x = 568,639.84

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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.