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Finding the Fourth Proportional to 483,886.80, 724,447.80 and 434,120.40

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Solution

The fourth proportional to 483,886.80, 724,447.80 and 434,120.40 is: 649,940.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,886.80 : 724,447.80 = 434,120.40 : x
  2. Step 2: Convert to fraction form
    483,886.80/724,447.80 = 434,120.40/x
  3. Step 3: Cross multiply
    483,886.80x = 724,447.80 × 434,120.40
  4. Step 4: Simplify right side
    483,886.80x = 314,497,568,715.12
  5. Step 5: Solve for x
    x = 314,497,568,715.12/483,886.80
  6. Step 6: Final answer
    x = 649,940.38

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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.