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Finding the Fourth Proportional to 257,316.70, 385,975.94 and 182,209.68

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Solution

The fourth proportional to 257,316.70, 385,975.94 and 182,209.68 is: 273,315.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,316.70 : 385,975.94 = 182,209.68 : x
  2. Step 2: Convert to fraction form
    257,316.70/385,975.94 = 182,209.68/x
  3. Step 3: Cross multiply
    257,316.70x = 385,975.94 × 182,209.68
  4. Step 4: Simplify right side
    257,316.70x = 70,328,552,515.10
  5. Step 5: Solve for x
    x = 70,328,552,515.10/257,316.70
  6. Step 6: Final answer
    x = 273,315.15

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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.