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Finding the Fourth Proportional to 661,283.54, 992,206.17 and 361,413.81

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Solution

The fourth proportional to 661,283.54, 992,206.17 and 361,413.81 is: 542,274.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,283.54 : 992,206.17 = 361,413.81 : x
  2. Step 2: Convert to fraction form
    661,283.54/992,206.17 = 361,413.81/x
  3. Step 3: Cross multiply
    661,283.54x = 992,206.17 × 361,413.81
  4. Step 4: Simplify right side
    661,283.54x = 358,597,012,205.21
  5. Step 5: Solve for x
    x = 358,597,012,205.21/661,283.54
  6. Step 6: Final answer
    x = 542,274.22

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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.