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Finding the Fourth Proportional to 384,927.29, 531,153.29 and 212,822

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Solution

The fourth proportional to 384,927.29, 531,153.29 and 212,822 is: 293,668.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,927.29 : 531,153.29 = 212,822 : x
  2. Step 2: Convert to fraction form
    384,927.29/531,153.29 = 212,822/x
  3. Step 3: Cross multiply
    384,927.29x = 531,153.29 × 212,822
  4. Step 4: Simplify right side
    384,927.29x = 113,041,105,484.38
  5. Step 5: Solve for x
    x = 113,041,105,484.38/384,927.29
  6. Step 6: Final answer
    x = 293,668.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.