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Finding the Fourth Proportional to 409,314.56, 614,054.88 and 128,766.56

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Solution

The fourth proportional to 409,314.56, 614,054.88 and 128,766.56 is: 193,175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,314.56 : 614,054.88 = 128,766.56 : x
  2. Step 2: Convert to fraction form
    409,314.56/614,054.88 = 128,766.56/x
  3. Step 3: Cross multiply
    409,314.56x = 614,054.88 × 128,766.56
  4. Step 4: Simplify right side
    409,314.56x = 79,069,734,548.81
  5. Step 5: Solve for x
    x = 79,069,734,548.81/409,314.56
  6. Step 6: Final answer
    x = 193,175.96

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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.