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Finding the Fourth Proportional to 487,739.80, 730,443.30 and 394,427.80

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Solution

The fourth proportional to 487,739.80, 730,443.30 and 394,427.80 is: 590,698.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,739.80 : 730,443.30 = 394,427.80 : x
  2. Step 2: Convert to fraction form
    487,739.80/730,443.30 = 394,427.80/x
  3. Step 3: Cross multiply
    487,739.80x = 730,443.30 × 394,427.80
  4. Step 4: Simplify right side
    487,739.80x = 288,107,143,843.74
  5. Step 5: Solve for x
    x = 288,107,143,843.74/487,739.80
  6. Step 6: Final answer
    x = 590,698.45

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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.