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Finding the Fourth Proportional to 384,892.65, 531,130.43 and 212,800.66

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Solution

The fourth proportional to 384,892.65, 531,130.43 and 212,800.66 is: 293,653.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,892.65 : 531,130.43 = 212,800.66 : x
  2. Step 2: Convert to fraction form
    384,892.65/531,130.43 = 212,800.66/x
  3. Step 3: Cross multiply
    384,892.65x = 531,130.43 × 212,800.66
  4. Step 4: Simplify right side
    384,892.65x = 113,024,906,050.08
  5. Step 5: Solve for x
    x = 113,024,906,050.08/384,892.65
  6. Step 6: Final answer
    x = 293,653.06

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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.