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Finding the Fourth Proportional to 515,878.80, 774,401.40 and 398,072.40

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Solution

The fourth proportional to 515,878.80, 774,401.40 and 398,072.40 is: 597,558.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,878.80 : 774,401.40 = 398,072.40 : x
  2. Step 2: Convert to fraction form
    515,878.80/774,401.40 = 398,072.40/x
  3. Step 3: Cross multiply
    515,878.80x = 774,401.40 × 398,072.40
  4. Step 4: Simplify right side
    515,878.80x = 308,267,823,861.36
  5. Step 5: Solve for x
    x = 308,267,823,861.36/515,878.80
  6. Step 6: Final answer
    x = 597,558.62

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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.