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Finding the Fourth Proportional to 443,355.32, 611,826.54 and 242,147

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Solution

The fourth proportional to 443,355.32, 611,826.54 and 242,147 is: 334,160.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,355.32 : 611,826.54 = 242,147 : x
  2. Step 2: Convert to fraction form
    443,355.32/611,826.54 = 242,147/x
  3. Step 3: Cross multiply
    443,355.32x = 611,826.54 × 242,147
  4. Step 4: Simplify right side
    443,355.32x = 148,151,961,181.38
  5. Step 5: Solve for x
    x = 148,151,961,181.38/443,355.32
  6. Step 6: Final answer
    x = 334,160.78

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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.