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Finding the Fourth Proportional to 400,429.60, 599,769.60 and 310,981.30

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Solution

The fourth proportional to 400,429.60, 599,769.60 and 310,981.30 is: 465,792.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,429.60 : 599,769.60 = 310,981.30 : x
  2. Step 2: Convert to fraction form
    400,429.60/599,769.60 = 310,981.30/x
  3. Step 3: Cross multiply
    400,429.60x = 599,769.60 × 310,981.30
  4. Step 4: Simplify right side
    400,429.60x = 186,517,129,908.48
  5. Step 5: Solve for x
    x = 186,517,129,908.48/400,429.60
  6. Step 6: Final answer
    x = 465,792.56

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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.