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Finding the Fourth Proportional to 513,599.52, 708,994.34 and 306,940.80

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Solution

The fourth proportional to 513,599.52, 708,994.34 and 306,940.80 is: 423,713.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,599.52 : 708,994.34 = 306,940.80 : x
  2. Step 2: Convert to fraction form
    513,599.52/708,994.34 = 306,940.80/x
  3. Step 3: Cross multiply
    513,599.52x = 708,994.34 × 306,940.80
  4. Step 4: Simplify right side
    513,599.52x = 217,619,289,915.07
  5. Step 5: Solve for x
    x = 217,619,289,915.07/513,599.52
  6. Step 6: Final answer
    x = 423,713.97

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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.