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Finding the Fourth Proportional to 306,083.71, 422,366.50 and 283,513.87

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Solution

The fourth proportional to 306,083.71, 422,366.50 and 283,513.87 is: 391,222.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,083.71 : 422,366.50 = 283,513.87 : x
  2. Step 2: Convert to fraction form
    306,083.71/422,366.50 = 283,513.87/x
  3. Step 3: Cross multiply
    306,083.71x = 422,366.50 × 283,513.87
  4. Step 4: Simplify right side
    306,083.71x = 119,746,761,855.71
  5. Step 5: Solve for x
    x = 119,746,761,855.71/306,083.71
  6. Step 6: Final answer
    x = 391,222.26

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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.