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Finding the Fourth Proportional to 508,996.90, 763,325.81 and 205,312.62

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Solution

The fourth proportional to 508,996.90, 763,325.81 and 205,312.62 is: 307,900.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,996.90 : 763,325.81 = 205,312.62 : x
  2. Step 2: Convert to fraction form
    508,996.90/763,325.81 = 205,312.62/x
  3. Step 3: Cross multiply
    508,996.90x = 763,325.81 × 205,312.62
  4. Step 4: Simplify right side
    508,996.90x = 156,720,421,892.32
  5. Step 5: Solve for x
    x = 156,720,421,892.32/508,996.90
  6. Step 6: Final answer
    x = 307,900.54

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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.