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Finding the Fourth Proportional to 257,100.16, 385,505.99 and 176,138.67

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Solution

The fourth proportional to 257,100.16, 385,505.99 and 176,138.67 is: 264,109.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,100.16 : 385,505.99 = 176,138.67 : x
  2. Step 2: Convert to fraction form
    257,100.16/385,505.99 = 176,138.67/x
  3. Step 3: Cross multiply
    257,100.16x = 385,505.99 × 176,138.67
  4. Step 4: Simplify right side
    257,100.16x = 67,902,511,474.94
  5. Step 5: Solve for x
    x = 67,902,511,474.94/257,100.16
  6. Step 6: Final answer
    x = 264,109.18

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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.