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Finding the Fourth Proportional to 471,898.60, 706,811.10 and 409,690.60

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Solution

The fourth proportional to 471,898.60, 706,811.10 and 409,690.60 is: 613,635.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,898.60 : 706,811.10 = 409,690.60 : x
  2. Step 2: Convert to fraction form
    471,898.60/706,811.10 = 409,690.60/x
  3. Step 3: Cross multiply
    471,898.60x = 706,811.10 × 409,690.60
  4. Step 4: Simplify right side
    471,898.60x = 289,573,863,645.66
  5. Step 5: Solve for x
    x = 289,573,863,645.66/471,898.60
  6. Step 6: Final answer
    x = 613,635.78

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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.