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Finding the Fourth Proportional to 398,643.20, 548,966.40 and 322,611.20

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Solution

The fourth proportional to 398,643.20, 548,966.40 and 322,611.20 is: 444,263.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,643.20 : 548,966.40 = 322,611.20 : x
  2. Step 2: Convert to fraction form
    398,643.20/548,966.40 = 322,611.20/x
  3. Step 3: Cross multiply
    398,643.20x = 548,966.40 × 322,611.20
  4. Step 4: Simplify right side
    398,643.20x = 177,102,709,063.68
  5. Step 5: Solve for x
    x = 177,102,709,063.68/398,643.20
  6. Step 6: Final answer
    x = 444,263.72

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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.