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Finding the Fourth Proportional to 538,939.10, 808,523.85 and 164,999.90

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Solution

The fourth proportional to 538,939.10, 808,523.85 and 164,999.90 is: 247,535.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,939.10 : 808,523.85 = 164,999.90 : x
  2. Step 2: Convert to fraction form
    538,939.10/808,523.85 = 164,999.90/x
  3. Step 3: Cross multiply
    538,939.10x = 808,523.85 × 164,999.90
  4. Step 4: Simplify right side
    538,939.10x = 133,406,354,397.62
  5. Step 5: Solve for x
    x = 133,406,354,397.62/538,939.10
  6. Step 6: Final answer
    x = 247,535.12

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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.