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Finding the Fourth Proportional to 253,637.84, 380,414.28 and 85,139.30

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Solution

The fourth proportional to 253,637.84, 380,414.28 and 85,139.30 is: 127,694.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,637.84 : 380,414.28 = 85,139.30 : x
  2. Step 2: Convert to fraction form
    253,637.84/380,414.28 = 85,139.30/x
  3. Step 3: Cross multiply
    253,637.84x = 380,414.28 × 85,139.30
  4. Step 4: Simplify right side
    253,637.84x = 32,388,205,509.20
  5. Step 5: Solve for x
    x = 32,388,205,509.20/253,637.84
  6. Step 6: Final answer
    x = 127,694.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.