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Finding the Fourth Proportional to 380,885.40, 571,098.42 and 201,114

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Solution

The fourth proportional to 380,885.40, 571,098.42 and 201,114 is: 301,549.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,885.40 : 571,098.42 = 201,114 : x
  2. Step 2: Convert to fraction form
    380,885.40/571,098.42 = 201,114/x
  3. Step 3: Cross multiply
    380,885.40x = 571,098.42 × 201,114
  4. Step 4: Simplify right side
    380,885.40x = 114,855,887,639.88
  5. Step 5: Solve for x
    x = 114,855,887,639.88/380,885.40
  6. Step 6: Final answer
    x = 301,549.73

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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.