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Finding the Fourth Proportional to 340,532.70, 510,021.45 and 200,564.70

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Solution

The fourth proportional to 340,532.70, 510,021.45 and 200,564.70 is: 300,389.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,532.70 : 510,021.45 = 200,564.70 : x
  2. Step 2: Convert to fraction form
    340,532.70/510,021.45 = 200,564.70/x
  3. Step 3: Cross multiply
    340,532.70x = 510,021.45 × 200,564.70
  4. Step 4: Simplify right side
    340,532.70x = 102,292,299,112.82
  5. Step 5: Solve for x
    x = 102,292,299,112.82/340,532.70
  6. Step 6: Final answer
    x = 300,389.06

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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.