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Finding the Fourth Proportional to 852,109.80, 1,176,015.68 and 489,533

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Solution

The fourth proportional to 852,109.80, 1,176,015.68 and 489,533 is: 675,615.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,109.80 : 1,176,015.68 = 489,533 : x
  2. Step 2: Convert to fraction form
    852,109.80/1,176,015.68 = 489,533/x
  3. Step 3: Cross multiply
    852,109.80x = 1,176,015.68 × 489,533
  4. Step 4: Simplify right side
    852,109.80x = 575,698,483,877.44
  5. Step 5: Solve for x
    x = 575,698,483,877.44/852,109.80
  6. Step 6: Final answer
    x = 675,615.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.