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Finding the Fourth Proportional to 508,999.36, 763,470.96 and 209,404.12

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Solution

The fourth proportional to 508,999.36, 763,470.96 and 209,404.12 is: 314,094.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,999.36 : 763,470.96 = 209,404.12 : x
  2. Step 2: Convert to fraction form
    508,999.36/763,470.96 = 209,404.12/x
  3. Step 3: Cross multiply
    508,999.36x = 763,470.96 × 209,404.12
  4. Step 4: Simplify right side
    508,999.36x = 159,873,964,524.36
  5. Step 5: Solve for x
    x = 159,873,964,524.36/508,999.36
  6. Step 6: Final answer
    x = 314,094.63

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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.