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Finding the Fourth Proportional to 384,083.36, 530,284.70 and 343,727.74

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Solution

The fourth proportional to 384,083.36, 530,284.70 and 343,727.74 is: 474,567.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,083.36 : 530,284.70 = 343,727.74 : x
  2. Step 2: Convert to fraction form
    384,083.36/530,284.70 = 343,727.74/x
  3. Step 3: Cross multiply
    384,083.36x = 530,284.70 × 343,727.74
  4. Step 4: Simplify right side
    384,083.36x = 182,273,561,487.58
  5. Step 5: Solve for x
    x = 182,273,561,487.58/384,083.36
  6. Step 6: Final answer
    x = 474,567.71

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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.