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Finding the Fourth Proportional to 647,539.48, 971,075.92 and 273,591.64

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Solution

The fourth proportional to 647,539.48, 971,075.92 and 273,591.64 is: 410,288.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,539.48 : 971,075.92 = 273,591.64 : x
  2. Step 2: Convert to fraction form
    647,539.48/971,075.92 = 273,591.64/x
  3. Step 3: Cross multiply
    647,539.48x = 971,075.92 × 273,591.64
  4. Step 4: Simplify right side
    647,539.48x = 265,678,253,517.31
  5. Step 5: Solve for x
    x = 265,678,253,517.31/647,539.48
  6. Step 6: Final answer
    x = 410,288.89

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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.