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Finding the Fourth Proportional to 493,345.80, 740,018.70 and 419,862.60

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Solution

The fourth proportional to 493,345.80, 740,018.70 and 419,862.60 is: 629,793.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,345.80 : 740,018.70 = 419,862.60 : x
  2. Step 2: Convert to fraction form
    493,345.80/740,018.70 = 419,862.60/x
  3. Step 3: Cross multiply
    493,345.80x = 740,018.70 × 419,862.60
  4. Step 4: Simplify right side
    493,345.80x = 310,706,175,430.62
  5. Step 5: Solve for x
    x = 310,706,175,430.62/493,345.80
  6. Step 6: Final answer
    x = 629,793.90

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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.