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Finding the Fourth Proportional to 338,884.91, 508,331.00 and 102,229.64

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Solution

The fourth proportional to 338,884.91, 508,331.00 and 102,229.64 is: 153,345.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,884.91 : 508,331.00 = 102,229.64 : x
  2. Step 2: Convert to fraction form
    338,884.91/508,331.00 = 102,229.64/x
  3. Step 3: Cross multiply
    338,884.91x = 508,331.00 × 102,229.64
  4. Step 4: Simplify right side
    338,884.91x = 51,966,492,844.76
  5. Step 5: Solve for x
    x = 51,966,492,844.76/338,884.91
  6. Step 6: Final answer
    x = 153,345.55

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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.