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Finding the Fourth Proportional to 489,802.40, 735,135.60 and 289,872.80

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Solution

The fourth proportional to 489,802.40, 735,135.60 and 289,872.80 is: 435,064.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,802.40 : 735,135.60 = 289,872.80 : x
  2. Step 2: Convert to fraction form
    489,802.40/735,135.60 = 289,872.80/x
  3. Step 3: Cross multiply
    489,802.40x = 735,135.60 × 289,872.80
  4. Step 4: Simplify right side
    489,802.40x = 213,095,814,751.68
  5. Step 5: Solve for x
    x = 213,095,814,751.68/489,802.40
  6. Step 6: Final answer
    x = 435,064.86

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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.