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Finding the Fourth Proportional to 338,900.72, 508,265.58 and 139,276.24

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Solution

The fourth proportional to 338,900.72, 508,265.58 and 139,276.24 is: 208,879.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,900.72 : 508,265.58 = 139,276.24 : x
  2. Step 2: Convert to fraction form
    338,900.72/508,265.58 = 139,276.24/x
  3. Step 3: Cross multiply
    338,900.72x = 508,265.58 × 139,276.24
  4. Step 4: Simplify right side
    338,900.72x = 70,789,318,903.82
  5. Step 5: Solve for x
    x = 70,789,318,903.82/338,900.72
  6. Step 6: Final answer
    x = 208,879.22

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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.