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Finding the Fourth Proportional to 309,669.62, 427,186.50 and 202,302.50

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Solution

The fourth proportional to 309,669.62, 427,186.50 and 202,302.50 is: 279,074.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,669.62 : 427,186.50 = 202,302.50 : x
  2. Step 2: Convert to fraction form
    309,669.62/427,186.50 = 202,302.50/x
  3. Step 3: Cross multiply
    309,669.62x = 427,186.50 × 202,302.50
  4. Step 4: Simplify right side
    309,669.62x = 86,420,896,916.25
  5. Step 5: Solve for x
    x = 86,420,896,916.25/309,669.62
  6. Step 6: Final answer
    x = 279,074.51

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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.