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Finding the Fourth Proportional to 493,360.80, 740,041.20 and 419,877.60

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Solution

The fourth proportional to 493,360.80, 740,041.20 and 419,877.60 is: 629,816.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,360.80 : 740,041.20 = 419,877.60 : x
  2. Step 2: Convert to fraction form
    493,360.80/740,041.20 = 419,877.60/x
  3. Step 3: Cross multiply
    493,360.80x = 740,041.20 × 419,877.60
  4. Step 4: Simplify right side
    493,360.80x = 310,726,722,957.12
  5. Step 5: Solve for x
    x = 310,726,722,957.12/493,360.80
  6. Step 6: Final answer
    x = 629,816.40

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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.