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Finding the Fourth Proportional to 661,283.71, 992,206.41 and 361,413.95

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Solution

The fourth proportional to 661,283.71, 992,206.41 and 361,413.95 is: 542,274.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,283.71 : 992,206.41 = 361,413.95 : x
  2. Step 2: Convert to fraction form
    661,283.71/992,206.41 = 361,413.95/x
  3. Step 3: Cross multiply
    661,283.71x = 992,206.41 × 361,413.95
  4. Step 4: Simplify right side
    661,283.71x = 358,597,231,085.32
  5. Step 5: Solve for x
    x = 358,597,231,085.32/661,283.71
  6. Step 6: Final answer
    x = 542,274.41

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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.