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Finding the Fourth Proportional to 547,708.50, 821,666.43 and 252,220.50

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Solution

The fourth proportional to 547,708.50, 821,666.43 and 252,220.50 is: 378,378.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,708.50 : 821,666.43 = 252,220.50 : x
  2. Step 2: Convert to fraction form
    547,708.50/821,666.43 = 252,220.50/x
  3. Step 3: Cross multiply
    547,708.50x = 821,666.43 × 252,220.50
  4. Step 4: Simplify right side
    547,708.50x = 207,241,117,807.82
  5. Step 5: Solve for x
    x = 207,241,117,807.82/547,708.50
  6. Step 6: Final answer
    x = 378,378.49

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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.