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Finding the Fourth Proportional to 364,695.82, 547,288.02 and 128,039.20

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Solution

The fourth proportional to 364,695.82, 547,288.02 and 128,039.20 is: 192,144.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,695.82 : 547,288.02 = 128,039.20 : x
  2. Step 2: Convert to fraction form
    364,695.82/547,288.02 = 128,039.20/x
  3. Step 3: Cross multiply
    364,695.82x = 547,288.02 × 128,039.20
  4. Step 4: Simplify right side
    364,695.82x = 70,074,320,250.38
  5. Step 5: Solve for x
    x = 70,074,320,250.38/364,695.82
  6. Step 6: Final answer
    x = 192,144.57

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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.