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Finding the Fourth Proportional to 493,429.15, 680,937.96 and 289,483.57

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Solution

The fourth proportional to 493,429.15, 680,937.96 and 289,483.57 is: 399,490.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,429.15 : 680,937.96 = 289,483.57 : x
  2. Step 2: Convert to fraction form
    493,429.15/680,937.96 = 289,483.57/x
  3. Step 3: Cross multiply
    493,429.15x = 680,937.96 × 289,483.57
  4. Step 4: Simplify right side
    493,429.15x = 197,120,351,609.32
  5. Step 5: Solve for x
    x = 197,120,351,609.32/493,429.15
  6. Step 6: Final answer
    x = 399,490.69

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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.