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Finding the Fourth Proportional to 513,361.80, 708,403.32 and 298,486.62

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Solution

The fourth proportional to 513,361.80, 708,403.32 and 298,486.62 is: 411,890.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,361.80 : 708,403.32 = 298,486.62 : x
  2. Step 2: Convert to fraction form
    513,361.80/708,403.32 = 298,486.62/x
  3. Step 3: Cross multiply
    513,361.80x = 708,403.32 × 298,486.62
  4. Step 4: Simplify right side
    513,361.80x = 211,448,912,583.58
  5. Step 5: Solve for x
    x = 211,448,912,583.58/513,361.80
  6. Step 6: Final answer
    x = 411,890.62

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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.