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Finding the Fourth Proportional to 385,687.68, 578,231.82 and 145,797.72

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Solution

The fourth proportional to 385,687.68, 578,231.82 and 145,797.72 is: 218,583.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,687.68 : 578,231.82 = 145,797.72 : x
  2. Step 2: Convert to fraction form
    385,687.68/578,231.82 = 145,797.72/x
  3. Step 3: Cross multiply
    385,687.68x = 578,231.82 × 145,797.72
  4. Step 4: Simplify right side
    385,687.68x = 84,304,880,987.45
  5. Step 5: Solve for x
    x = 84,304,880,987.45/385,687.68
  6. Step 6: Final answer
    x = 218,583.29

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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.