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Finding the Fourth Proportional to 437,637.60, 656,456.40 and 434,872.80

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Solution

The fourth proportional to 437,637.60, 656,456.40 and 434,872.80 is: 652,309.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,637.60 : 656,456.40 = 434,872.80 : x
  2. Step 2: Convert to fraction form
    437,637.60/656,456.40 = 434,872.80/x
  3. Step 3: Cross multiply
    437,637.60x = 656,456.40 × 434,872.80
  4. Step 4: Simplify right side
    437,637.60x = 285,475,032,745.92
  5. Step 5: Solve for x
    x = 285,475,032,745.92/437,637.60
  6. Step 6: Final answer
    x = 652,309.20

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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.