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Finding the Fourth Proportional to 389,655.86, 537,719.82 and 217,576.49

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Solution

The fourth proportional to 389,655.86, 537,719.82 and 217,576.49 is: 300,252.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,655.86 : 537,719.82 = 217,576.49 : x
  2. Step 2: Convert to fraction form
    389,655.86/537,719.82 = 217,576.49/x
  3. Step 3: Cross multiply
    389,655.86x = 537,719.82 × 217,576.49
  4. Step 4: Simplify right side
    389,655.86x = 116,995,191,039.03
  5. Step 5: Solve for x
    x = 116,995,191,039.03/389,655.86
  6. Step 6: Final answer
    x = 300,252.62

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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.