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Finding the Fourth Proportional to 513,722.70, 709,222.37 and 309,825.49

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Solution

The fourth proportional to 513,722.70, 709,222.37 and 309,825.49 is: 427,731.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,722.70 : 709,222.37 = 309,825.49 : x
  2. Step 2: Convert to fraction form
    513,722.70/709,222.37 = 309,825.49/x
  3. Step 3: Cross multiply
    513,722.70x = 709,222.37 × 309,825.49
  4. Step 4: Simplify right side
    513,722.70x = 219,735,167,305.72
  5. Step 5: Solve for x
    x = 219,735,167,305.72/513,722.70
  6. Step 6: Final answer
    x = 427,731.08

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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.