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Finding the Fourth Proportional to 461,047.20, 691,570.80 and 419,712.90

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Solution

The fourth proportional to 461,047.20, 691,570.80 and 419,712.90 is: 629,569.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,047.20 : 691,570.80 = 419,712.90 : x
  2. Step 2: Convert to fraction form
    461,047.20/691,570.80 = 419,712.90/x
  3. Step 3: Cross multiply
    461,047.20x = 691,570.80 × 419,712.90
  4. Step 4: Simplify right side
    461,047.20x = 290,261,186,023.32
  5. Step 5: Solve for x
    x = 290,261,186,023.32/461,047.20
  6. Step 6: Final answer
    x = 629,569.35

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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.