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Finding the Fourth Proportional to 513,950.70, 769,803.32 and 213,520.38

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Solution

The fourth proportional to 513,950.70, 769,803.32 and 213,520.38 is: 319,814.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,950.70 : 769,803.32 = 213,520.38 : x
  2. Step 2: Convert to fraction form
    513,950.70/769,803.32 = 213,520.38/x
  3. Step 3: Cross multiply
    513,950.70x = 769,803.32 × 213,520.38
  4. Step 4: Simplify right side
    513,950.70x = 164,368,697,411.66
  5. Step 5: Solve for x
    x = 164,368,697,411.66/513,950.70
  6. Step 6: Final answer
    x = 319,814.13

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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.