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Finding the Fourth Proportional to 496,020.60, 684,477.81 and 278,217.27

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Solution

The fourth proportional to 496,020.60, 684,477.81 and 278,217.27 is: 383,922.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,020.60 : 684,477.81 = 278,217.27 : x
  2. Step 2: Convert to fraction form
    496,020.60/684,477.81 = 278,217.27/x
  3. Step 3: Cross multiply
    496,020.60x = 684,477.81 × 278,217.27
  4. Step 4: Simplify right side
    496,020.60x = 190,433,547,673.78
  5. Step 5: Solve for x
    x = 190,433,547,673.78/496,020.60
  6. Step 6: Final answer
    x = 383,922.66

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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.