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Finding the Fourth Proportional to 419,188.13, 628,874.98 and 152,947.88

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Solution

The fourth proportional to 419,188.13, 628,874.98 and 152,947.88 is: 229,455.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,188.13 : 628,874.98 = 152,947.88 : x
  2. Step 2: Convert to fraction form
    419,188.13/628,874.98 = 152,947.88/x
  3. Step 3: Cross multiply
    419,188.13x = 628,874.98 × 152,947.88
  4. Step 4: Simplify right side
    419,188.13x = 96,185,091,449.30
  5. Step 5: Solve for x
    x = 96,185,091,449.30/419,188.13
  6. Step 6: Final answer
    x = 229,455.66

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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.