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Finding the Fourth Proportional to 450,069.81, 675,437.02 and 213,413.33

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Solution

The fourth proportional to 450,069.81, 675,437.02 and 213,413.33 is: 320,277.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,069.81 : 675,437.02 = 213,413.33 : x
  2. Step 2: Convert to fraction form
    450,069.81/675,437.02 = 213,413.33/x
  3. Step 3: Cross multiply
    450,069.81x = 675,437.02 × 213,413.33
  4. Step 4: Simplify right side
    450,069.81x = 144,147,262,488.42
  5. Step 5: Solve for x
    x = 144,147,262,488.42/450,069.81
  6. Step 6: Final answer
    x = 320,277.56

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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.