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Finding the Fourth Proportional to 493,458.96, 680,967.66 and 278,608.08

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Solution

The fourth proportional to 493,458.96, 680,967.66 and 278,608.08 is: 384,475.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,458.96 : 680,967.66 = 278,608.08 : x
  2. Step 2: Convert to fraction form
    493,458.96/680,967.66 = 278,608.08/x
  3. Step 3: Cross multiply
    493,458.96x = 680,967.66 × 278,608.08
  4. Step 4: Simplify right side
    493,458.96x = 189,723,092,294.69
  5. Step 5: Solve for x
    x = 189,723,092,294.69/493,458.96
  6. Step 6: Final answer
    x = 384,475.93

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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.