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Finding the Fourth Proportional to 398,347.87, 597,698.34 and 208,763.12

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Solution

The fourth proportional to 398,347.87, 597,698.34 and 208,763.12 is: 313,237.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,347.87 : 597,698.34 = 208,763.12 : x
  2. Step 2: Convert to fraction form
    398,347.87/597,698.34 = 208,763.12/x
  3. Step 3: Cross multiply
    398,347.87x = 597,698.34 × 208,763.12
  4. Step 4: Simplify right side
    398,347.87x = 124,777,369,755.31
  5. Step 5: Solve for x
    x = 124,777,369,755.31/398,347.87
  6. Step 6: Final answer
    x = 313,237.19

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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.