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Finding the Fourth Proportional to 385,681.44, 578,895.31 and 186,142.31

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Solution

The fourth proportional to 385,681.44, 578,895.31 and 186,142.31 is: 279,393.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,681.44 : 578,895.31 = 186,142.31 : x
  2. Step 2: Convert to fraction form
    385,681.44/578,895.31 = 186,142.31/x
  3. Step 3: Cross multiply
    385,681.44x = 578,895.31 × 186,142.31
  4. Step 4: Simplify right side
    385,681.44x = 107,756,910,251.57
  5. Step 5: Solve for x
    x = 107,756,910,251.57/385,681.44
  6. Step 6: Final answer
    x = 279,393.56

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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.