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Finding the Fourth Proportional to 508,998.36, 763,469.46 and 209,403.12

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Solution

The fourth proportional to 508,998.36, 763,469.46 and 209,403.12 is: 314,093.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,998.36 : 763,469.46 = 209,403.12 : x
  2. Step 2: Convert to fraction form
    508,998.36/763,469.46 = 209,403.12/x
  3. Step 3: Cross multiply
    508,998.36x = 763,469.46 × 209,403.12
  4. Step 4: Simplify right side
    508,998.36x = 159,872,886,948.72
  5. Step 5: Solve for x
    x = 159,872,886,948.72/508,998.36
  6. Step 6: Final answer
    x = 314,093.13

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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.