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Finding the Fourth Proportional to 257,386.26, 385,970.04 and 139,025.82

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Solution

The fourth proportional to 257,386.26, 385,970.04 and 139,025.82 is: 208,479.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,386.26 : 385,970.04 = 139,025.82 : x
  2. Step 2: Convert to fraction form
    257,386.26/385,970.04 = 139,025.82/x
  3. Step 3: Cross multiply
    257,386.26x = 385,970.04 × 139,025.82
  4. Step 4: Simplify right side
    257,386.26x = 53,659,801,306.43
  5. Step 5: Solve for x
    x = 53,659,801,306.43/257,386.26
  6. Step 6: Final answer
    x = 208,479.67

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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.