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Finding the Fourth Proportional to 257,314.69, 385,972.94 and 182,207.67

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Solution

The fourth proportional to 257,314.69, 385,972.94 and 182,207.67 is: 273,312.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,314.69 : 385,972.94 = 182,207.67 : x
  2. Step 2: Convert to fraction form
    257,314.69/385,972.94 = 182,207.67/x
  3. Step 3: Cross multiply
    257,314.69x = 385,972.94 × 182,207.67
  4. Step 4: Simplify right side
    257,314.69x = 70,327,230,080.45
  5. Step 5: Solve for x
    x = 70,327,230,080.45/257,314.69
  6. Step 6: Final answer
    x = 273,312.15

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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.