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Finding the Fourth Proportional to 489,010.40, 733,947.60 and 289,080.80

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Solution

The fourth proportional to 489,010.40, 733,947.60 and 289,080.80 is: 433,876.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,010.40 : 733,947.60 = 289,080.80 : x
  2. Step 2: Convert to fraction form
    489,010.40/733,947.60 = 289,080.80/x
  3. Step 3: Cross multiply
    489,010.40x = 733,947.60 × 289,080.80
  4. Step 4: Simplify right side
    489,010.40x = 212,170,159,366.08
  5. Step 5: Solve for x
    x = 212,170,159,366.08/489,010.40
  6. Step 6: Final answer
    x = 433,876.58

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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.