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Finding the Fourth Proportional to 315,940.20, 472,988.70 and 306,724.20

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Solution

The fourth proportional to 315,940.20, 472,988.70 and 306,724.20 is: 459,191.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,940.20 : 472,988.70 = 306,724.20 : x
  2. Step 2: Convert to fraction form
    315,940.20/472,988.70 = 306,724.20/x
  3. Step 3: Cross multiply
    315,940.20x = 472,988.70 × 306,724.20
  4. Step 4: Simplify right side
    315,940.20x = 145,077,080,616.54
  5. Step 5: Solve for x
    x = 145,077,080,616.54/315,940.20
  6. Step 6: Final answer
    x = 459,191.58

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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.