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Finding the Fourth Proportional to 275,800.80, 413,406.90 and 157,216.80

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Solution

The fourth proportional to 275,800.80, 413,406.90 and 157,216.80 is: 235,657.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,800.80 : 413,406.90 = 157,216.80 : x
  2. Step 2: Convert to fraction form
    275,800.80/413,406.90 = 157,216.80/x
  3. Step 3: Cross multiply
    275,800.80x = 413,406.90 × 157,216.80
  4. Step 4: Simplify right side
    275,800.80x = 64,994,509,915.92
  5. Step 5: Solve for x
    x = 64,994,509,915.92/275,800.80
  6. Step 6: Final answer
    x = 235,657.44

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1.5x scale

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.