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Finding the Fourth Proportional to 543,755.60, 815,633.40 and 417,638.60

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Solution

The fourth proportional to 543,755.60, 815,633.40 and 417,638.60 is: 626,457.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,755.60 : 815,633.40 = 417,638.60 : x
  2. Step 2: Convert to fraction form
    543,755.60/815,633.40 = 417,638.60/x
  3. Step 3: Cross multiply
    543,755.60x = 815,633.40 × 417,638.60
  4. Step 4: Simplify right side
    543,755.60x = 340,639,991,289.24
  5. Step 5: Solve for x
    x = 340,639,991,289.24/543,755.60
  6. Step 6: Final answer
    x = 626,457.90

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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.