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Finding the Fourth Proportional to 370,136.10, 510,785.52 and 200,369

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Solution

The fourth proportional to 370,136.10, 510,785.52 and 200,369 is: 276,507.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,136.10 : 510,785.52 = 200,369 : x
  2. Step 2: Convert to fraction form
    370,136.10/510,785.52 = 200,369/x
  3. Step 3: Cross multiply
    370,136.10x = 510,785.52 × 200,369
  4. Step 4: Simplify right side
    370,136.10x = 102,345,583,856.88
  5. Step 5: Solve for x
    x = 102,345,583,856.88/370,136.10
  6. Step 6: Final answer
    x = 276,507.98

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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.