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Finding the Fourth Proportional to 442,703.40, 664,400.70 and 206,075.40

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Solution

The fourth proportional to 442,703.40, 664,400.70 and 206,075.40 is: 309,273.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,703.40 : 664,400.70 = 206,075.40 : x
  2. Step 2: Convert to fraction form
    442,703.40/664,400.70 = 206,075.40/x
  3. Step 3: Cross multiply
    442,703.40x = 664,400.70 × 206,075.40
  4. Step 4: Simplify right side
    442,703.40x = 136,916,640,012.78
  5. Step 5: Solve for x
    x = 136,916,640,012.78/442,703.40
  6. Step 6: Final answer
    x = 309,273.97

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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.