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Finding the Fourth Proportional to 655,857.72, 983,821.74 and 206,613.74

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Solution

The fourth proportional to 655,857.72, 983,821.74 and 206,613.74 is: 309,931.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,857.72 : 983,821.74 = 206,613.74 : x
  2. Step 2: Convert to fraction form
    655,857.72/983,821.74 = 206,613.74/x
  3. Step 3: Cross multiply
    655,857.72x = 983,821.74 × 206,613.74
  4. Step 4: Simplify right side
    655,857.72x = 203,271,089,194.71
  5. Step 5: Solve for x
    x = 203,271,089,194.71/655,857.72
  6. Step 6: Final answer
    x = 309,931.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.