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Finding the Fourth Proportional to 508,843.16, 763,451.84 and 209,243.60

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Solution

The fourth proportional to 508,843.16, 763,451.84 and 209,243.60 is: 313,942.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,843.16 : 763,451.84 = 209,243.60 : x
  2. Step 2: Convert to fraction form
    508,843.16/763,451.84 = 209,243.60/x
  3. Step 3: Cross multiply
    508,843.16x = 763,451.84 × 209,243.60
  4. Step 4: Simplify right side
    508,843.16x = 159,747,411,428.22
  5. Step 5: Solve for x
    x = 159,747,411,428.22/508,843.16
  6. Step 6: Final answer
    x = 313,942.34

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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.