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Finding the Fourth Proportional to 543,298.37, 814,615.40 and 259,075.85

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Solution

The fourth proportional to 543,298.37, 814,615.40 and 259,075.85 is: 388,455.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,298.37 : 814,615.40 = 259,075.85 : x
  2. Step 2: Convert to fraction form
    543,298.37/814,615.40 = 259,075.85/x
  3. Step 3: Cross multiply
    543,298.37x = 814,615.40 × 259,075.85
  4. Step 4: Simplify right side
    543,298.37x = 211,047,179,862.32
  5. Step 5: Solve for x
    x = 211,047,179,862.32/543,298.37
  6. Step 6: Final answer
    x = 388,455.39

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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.