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Finding the Fourth Proportional to 515,812.80, 774,302.40 and 398,006.40

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Solution

The fourth proportional to 515,812.80, 774,302.40 and 398,006.40 is: 597,459.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,812.80 : 774,302.40 = 398,006.40 : x
  2. Step 2: Convert to fraction form
    515,812.80/774,302.40 = 398,006.40/x
  3. Step 3: Cross multiply
    515,812.80x = 774,302.40 × 398,006.40
  4. Step 4: Simplify right side
    515,812.80x = 308,177,310,735.36
  5. Step 5: Solve for x
    x = 308,177,310,735.36/515,812.80
  6. Step 6: Final answer
    x = 597,459.60

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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.