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Finding the Fourth Proportional to 543,399.31, 814,836.80 and 227,771.47

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Solution

The fourth proportional to 543,399.31, 814,836.80 and 227,771.47 is: 341,547.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,399.31 : 814,836.80 = 227,771.47 : x
  2. Step 2: Convert to fraction form
    543,399.31/814,836.80 = 227,771.47/x
  3. Step 3: Cross multiply
    543,399.31x = 814,836.80 × 227,771.47
  4. Step 4: Simplify right side
    543,399.31x = 185,596,574,607.24
  5. Step 5: Solve for x
    x = 185,596,574,607.24/543,399.31
  6. Step 6: Final answer
    x = 341,547.31

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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.