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Finding the Fourth Proportional to 521,413.71, 782,205.33 and 161,500.50

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Solution

The fourth proportional to 521,413.71, 782,205.33 and 161,500.50 is: 242,277.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,413.71 : 782,205.33 = 161,500.50 : x
  2. Step 2: Convert to fraction form
    521,413.71/782,205.33 = 161,500.50/x
  3. Step 3: Cross multiply
    521,413.71x = 782,205.33 × 161,500.50
  4. Step 4: Simplify right side
    521,413.71x = 126,326,551,897.67
  5. Step 5: Solve for x
    x = 126,326,551,897.67/521,413.71
  6. Step 6: Final answer
    x = 242,277.00

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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.