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Finding the Fourth Proportional to 493,407.54, 680,908.08 and 289,461.96

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Solution

The fourth proportional to 493,407.54, 680,908.08 and 289,461.96 is: 399,460.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,407.54 : 680,908.08 = 289,461.96 : x
  2. Step 2: Convert to fraction form
    493,407.54/680,908.08 = 289,461.96/x
  3. Step 3: Cross multiply
    493,407.54x = 680,908.08 × 289,461.96
  4. Step 4: Simplify right side
    493,407.54x = 197,096,987,416.64
  5. Step 5: Solve for x
    x = 197,096,987,416.64/493,407.54
  6. Step 6: Final answer
    x = 399,460.83

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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.