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Finding the Fourth Proportional to 384,420.79, 530,405.17 and 333,351.91

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Solution

The fourth proportional to 384,420.79, 530,405.17 and 333,351.91 is: 459,942.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,420.79 : 530,405.17 = 333,351.91 : x
  2. Step 2: Convert to fraction form
    384,420.79/530,405.17 = 333,351.91/x
  3. Step 3: Cross multiply
    384,420.79x = 530,405.17 × 333,351.91
  4. Step 4: Simplify right side
    384,420.79x = 176,811,576,493.38
  5. Step 5: Solve for x
    x = 176,811,576,493.38/384,420.79
  6. Step 6: Final answer
    x = 459,942.81

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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.