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Finding the Fourth Proportional to 338,687.68, 508,050.96 and 102,005.68

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Solution

The fourth proportional to 338,687.68, 508,050.96 and 102,005.68 is: 153,014.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,687.68 : 508,050.96 = 102,005.68 : x
  2. Step 2: Convert to fraction form
    338,687.68/508,050.96 = 102,005.68/x
  3. Step 3: Cross multiply
    338,687.68x = 508,050.96 × 102,005.68
  4. Step 4: Simplify right side
    338,687.68x = 51,824,083,649.45
  5. Step 5: Solve for x
    x = 51,824,083,649.45/338,687.68
  6. Step 6: Final answer
    x = 153,014.37

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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.