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Finding the Fourth Proportional to 517,906.40, 775,547.40 and 412,930.40

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Solution

The fourth proportional to 517,906.40, 775,547.40 and 412,930.40 is: 618,349.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,906.40 : 775,547.40 = 412,930.40 : x
  2. Step 2: Convert to fraction form
    517,906.40/775,547.40 = 412,930.40/x
  3. Step 3: Cross multiply
    517,906.40x = 775,547.40 × 412,930.40
  4. Step 4: Simplify right side
    517,906.40x = 320,247,098,100.96
  5. Step 5: Solve for x
    x = 320,247,098,100.96/517,906.40
  6. Step 6: Final answer
    x = 618,349.37

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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.