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Finding the Fourth Proportional to 257,434.89, 386,263.44 and 139,189.74

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Solution

The fourth proportional to 257,434.89, 386,263.44 and 139,189.74 is: 208,844.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,434.89 : 386,263.44 = 139,189.74 : x
  2. Step 2: Convert to fraction form
    257,434.89/386,263.44 = 139,189.74/x
  3. Step 3: Cross multiply
    257,434.89x = 386,263.44 × 139,189.74
  4. Step 4: Simplify right side
    257,434.89x = 53,763,907,785.11
  5. Step 5: Solve for x
    x = 53,763,907,785.11/257,434.89
  6. Step 6: Final answer
    x = 208,844.68

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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.