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Finding the Fourth Proportional to 385,171.30, 531,670 and 264,711.34

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Solution

The fourth proportional to 385,171.30, 531,670 and 264,711.34 is: 365,393.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,171.30 : 531,670 = 264,711.34 : x
  2. Step 2: Convert to fraction form
    385,171.30/531,670 = 264,711.34/x
  3. Step 3: Cross multiply
    385,171.30x = 531,670 × 264,711.34
  4. Step 4: Simplify right side
    385,171.30x = 140,739,078,137.80
  5. Step 5: Solve for x
    x = 140,739,078,137.80/385,171.30
  6. Step 6: Final answer
    x = 365,393.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.