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Finding the Fourth Proportional to 513,549.76, 770,167.68 and 181,048

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Solution

The fourth proportional to 513,549.76, 770,167.68 and 181,048 is: 271,516.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,549.76 : 770,167.68 = 181,048 : x
  2. Step 2: Convert to fraction form
    513,549.76/770,167.68 = 181,048/x
  3. Step 3: Cross multiply
    513,549.76x = 770,167.68 × 181,048
  4. Step 4: Simplify right side
    513,549.76x = 139,437,318,128.64
  5. Step 5: Solve for x
    x = 139,437,318,128.64/513,549.76
  6. Step 6: Final answer
    x = 271,516.66

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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.