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Finding the Fourth Proportional to 384,150.55, 530,157.14 and 212,101.69

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Solution

The fourth proportional to 384,150.55, 530,157.14 and 212,101.69 is: 292,716.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,150.55 : 530,157.14 = 212,101.69 : x
  2. Step 2: Convert to fraction form
    384,150.55/530,157.14 = 212,101.69/x
  3. Step 3: Cross multiply
    384,150.55x = 530,157.14 × 212,101.69
  4. Step 4: Simplify right side
    384,150.55x = 112,447,225,359.57
  5. Step 5: Solve for x
    x = 112,447,225,359.57/384,150.55
  6. Step 6: Final answer
    x = 292,716.55

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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.