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Finding the Fourth Proportional to 513,267.69, 769,235.70 and 228,553.11

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Solution

The fourth proportional to 513,267.69, 769,235.70 and 228,553.11 is: 342,533.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,267.69 : 769,235.70 = 228,553.11 : x
  2. Step 2: Convert to fraction form
    513,267.69/769,235.70 = 228,553.11/x
  3. Step 3: Cross multiply
    513,267.69x = 769,235.70 × 228,553.11
  4. Step 4: Simplify right side
    513,267.69x = 175,811,211,558.03
  5. Step 5: Solve for x
    x = 175,811,211,558.03/513,267.69
  6. Step 6: Final answer
    x = 342,533.18

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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.