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Finding the Fourth Proportional to 489,345.40, 735,986.40 and 438,169.60

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Solution

The fourth proportional to 489,345.40, 735,986.40 and 438,169.60 is: 659,016.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,345.40 : 735,986.40 = 438,169.60 : x
  2. Step 2: Convert to fraction form
    489,345.40/735,986.40 = 438,169.60/x
  3. Step 3: Cross multiply
    489,345.40x = 735,986.40 × 438,169.60
  4. Step 4: Simplify right side
    489,345.40x = 322,486,866,493.44
  5. Step 5: Solve for x
    x = 322,486,866,493.44/489,345.40
  6. Step 6: Final answer
    x = 659,016.85

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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.