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Finding the Fourth Proportional to 493,446.96, 680,951.10 and 278,596.08

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Solution

The fourth proportional to 493,446.96, 680,951.10 and 278,596.08 is: 384,459.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,446.96 : 680,951.10 = 278,596.08 : x
  2. Step 2: Convert to fraction form
    493,446.96/680,951.10 = 278,596.08/x
  3. Step 3: Cross multiply
    493,446.96x = 680,951.10 × 278,596.08
  4. Step 4: Simplify right side
    493,446.96x = 189,710,307,131.69
  5. Step 5: Solve for x
    x = 189,710,307,131.69/493,446.96
  6. Step 6: Final answer
    x = 384,459.37

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1.5x scale

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.