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Finding the Fourth Proportional to 346,652.46, 478,383.56 and 203,414.89

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Solution

The fourth proportional to 346,652.46, 478,383.56 and 203,414.89 is: 280,714.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,652.46 : 478,383.56 = 203,414.89 : x
  2. Step 2: Convert to fraction form
    346,652.46/478,383.56 = 203,414.89/x
  3. Step 3: Cross multiply
    346,652.46x = 478,383.56 × 203,414.89
  4. Step 4: Simplify right side
    346,652.46x = 97,310,339,235.21
  5. Step 5: Solve for x
    x = 97,310,339,235.21/346,652.46
  6. Step 6: Final answer
    x = 280,714.41

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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.