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Finding the Fourth Proportional to 509,401.50, 702,997.17 and 283,047

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Solution

The fourth proportional to 509,401.50, 702,997.17 and 283,047 is: 390,617.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,401.50 : 702,997.17 = 283,047 : x
  2. Step 2: Convert to fraction form
    509,401.50/702,997.17 = 283,047/x
  3. Step 3: Cross multiply
    509,401.50x = 702,997.17 × 283,047
  4. Step 4: Simplify right side
    509,401.50x = 198,981,239,976.99
  5. Step 5: Solve for x
    x = 198,981,239,976.99/509,401.50
  6. Step 6: Final answer
    x = 390,617.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.