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Finding the Fourth Proportional to 513,498.12, 708,843.90 and 398,811.96

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Solution

The fourth proportional to 513,498.12, 708,843.90 and 398,811.96 is: 550,528.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,498.12 : 708,843.90 = 398,811.96 : x
  2. Step 2: Convert to fraction form
    513,498.12/708,843.90 = 398,811.96/x
  3. Step 3: Cross multiply
    513,498.12x = 708,843.90 × 398,811.96
  4. Step 4: Simplify right side
    513,498.12x = 282,695,425,093.04
  5. Step 5: Solve for x
    x = 282,695,425,093.04/513,498.12
  6. Step 6: Final answer
    x = 550,528.65

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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.