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Finding the Fourth Proportional to 489,208.80, 734,504.40 and 302,584.80

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Solution

The fourth proportional to 489,208.80, 734,504.40 and 302,584.80 is: 454,304.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,208.80 : 734,504.40 = 302,584.80 : x
  2. Step 2: Convert to fraction form
    489,208.80/734,504.40 = 302,584.80/x
  3. Step 3: Cross multiply
    489,208.80x = 734,504.40 × 302,584.80
  4. Step 4: Simplify right side
    489,208.80x = 222,249,866,973.12
  5. Step 5: Solve for x
    x = 222,249,866,973.12/489,208.80
  6. Step 6: Final answer
    x = 454,304.72

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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.