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Finding the Fourth Proportional to 397,168.76, 548,356.82 and 305,124.12

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Solution

The fourth proportional to 397,168.76, 548,356.82 and 305,124.12 is: 421,274.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,168.76 : 548,356.82 = 305,124.12 : x
  2. Step 2: Convert to fraction form
    397,168.76/548,356.82 = 305,124.12/x
  3. Step 3: Cross multiply
    397,168.76x = 548,356.82 × 305,124.12
  4. Step 4: Simplify right side
    397,168.76x = 167,316,889,406.71
  5. Step 5: Solve for x
    x = 167,316,889,406.71/397,168.76
  6. Step 6: Final answer
    x = 421,274.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.