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Finding the Fourth Proportional to 647,075.52, 970,021.92 and 547,874.88

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Solution

The fourth proportional to 647,075.52, 970,021.92 and 547,874.88 is: 821,311.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,075.52 : 970,021.92 = 547,874.88 : x
  2. Step 2: Convert to fraction form
    647,075.52/970,021.92 = 547,874.88/x
  3. Step 3: Cross multiply
    647,075.52x = 970,021.92 × 547,874.88
  4. Step 4: Simplify right side
    647,075.52x = 531,450,643,017.37
  5. Step 5: Solve for x
    x = 531,450,643,017.37/647,075.52
  6. Step 6: Final answer
    x = 821,311.62

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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.