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Finding the Fourth Proportional to 242,830.60, 364,256.70 and 82,904.20

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Solution

The fourth proportional to 242,830.60, 364,256.70 and 82,904.20 is: 124,359.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,830.60 : 364,256.70 = 82,904.20 : x
  2. Step 2: Convert to fraction form
    242,830.60/364,256.70 = 82,904.20/x
  3. Step 3: Cross multiply
    242,830.60x = 364,256.70 × 82,904.20
  4. Step 4: Simplify right side
    242,830.60x = 30,198,410,308.14
  5. Step 5: Solve for x
    x = 30,198,410,308.14/242,830.60
  6. Step 6: Final answer
    x = 124,359.99

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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.