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Finding the Fourth Proportional to 1,318,422.03, 1,976,978.70 and 419,746.74

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Solution

The fourth proportional to 1,318,422.03, 1,976,978.70 and 419,746.74 is: 629,411.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318,422.03 : 1,976,978.70 = 419,746.74 : x
  2. Step 2: Convert to fraction form
    1,318,422.03/1,976,978.70 = 419,746.74/x
  3. Step 3: Cross multiply
    1,318,422.03x = 1,976,978.70 × 419,746.74
  4. Step 4: Simplify right side
    1,318,422.03x = 829,830,364,374.44
  5. Step 5: Solve for x
    x = 829,830,364,374.44/1,318,422.03
  6. Step 6: Final answer
    x = 629,411.79

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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.