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Finding the Fourth Proportional to 513,025.94, 769,123.84 and 213,731.35

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Solution

The fourth proportional to 513,025.94, 769,123.84 and 213,731.35 is: 320,424.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,025.94 : 769,123.84 = 213,731.35 : x
  2. Step 2: Convert to fraction form
    513,025.94/769,123.84 = 213,731.35/x
  3. Step 3: Cross multiply
    513,025.94x = 769,123.84 × 213,731.35
  4. Step 4: Simplify right side
    513,025.94x = 164,385,876,640.38
  5. Step 5: Solve for x
    x = 164,385,876,640.38/513,025.94
  6. Step 6: Final answer
    x = 320,424.10

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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.