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Finding the Fourth Proportional to 493,722.86, 681,144.65 and 286,956.89

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Solution

The fourth proportional to 493,722.86, 681,144.65 and 286,956.89 is: 395,888.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,722.86 : 681,144.65 = 286,956.89 : x
  2. Step 2: Convert to fraction form
    493,722.86/681,144.65 = 286,956.89/x
  3. Step 3: Cross multiply
    493,722.86x = 681,144.65 × 286,956.89
  4. Step 4: Simplify right side
    493,722.86x = 195,459,150,404.14
  5. Step 5: Solve for x
    x = 195,459,150,404.14/493,722.86
  6. Step 6: Final answer
    x = 395,888.40

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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.