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Finding the Fourth Proportional to 384,808.20, 577,212.30 and 243,090.60

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Solution

The fourth proportional to 384,808.20, 577,212.30 and 243,090.60 is: 364,635.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,808.20 : 577,212.30 = 243,090.60 : x
  2. Step 2: Convert to fraction form
    384,808.20/577,212.30 = 243,090.60/x
  3. Step 3: Cross multiply
    384,808.20x = 577,212.30 × 243,090.60
  4. Step 4: Simplify right side
    384,808.20x = 140,314,884,334.38
  5. Step 5: Solve for x
    x = 140,314,884,334.38/384,808.20
  6. Step 6: Final answer
    x = 364,635.90

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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.