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Finding the Fourth Proportional to 338,755.68, 508,199.40 and 102,086.64

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Solution

The fourth proportional to 338,755.68, 508,199.40 and 102,086.64 is: 153,149.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,755.68 : 508,199.40 = 102,086.64 : x
  2. Step 2: Convert to fraction form
    338,755.68/508,199.40 = 102,086.64/x
  3. Step 3: Cross multiply
    338,755.68x = 508,199.40 × 102,086.64
  4. Step 4: Simplify right side
    338,755.68x = 51,880,369,196.02
  5. Step 5: Solve for x
    x = 51,880,369,196.02/338,755.68
  6. Step 6: Final answer
    x = 153,149.81

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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.