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Finding the Fourth Proportional to 543,015, 814,544.46 and 258,559.20

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Solution

The fourth proportional to 543,015, 814,544.46 and 258,559.20 is: 387,849.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,015 : 814,544.46 = 258,559.20 : x
  2. Step 2: Convert to fraction form
    543,015/814,544.46 = 258,559.20/x
  3. Step 3: Cross multiply
    543,015x = 814,544.46 × 258,559.20
  4. Step 4: Simplify right side
    543,015x = 210,607,963,942.03
  5. Step 5: Solve for x
    x = 210,607,963,942.03/543,015
  6. Step 6: Final answer
    x = 387,849.26

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1.5x scale

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.