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Finding the Fourth Proportional to 382,398.42, 573,080.88 and 145,611.92

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Solution

The fourth proportional to 382,398.42, 573,080.88 and 145,611.92 is: 218,221.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,398.42 : 573,080.88 = 145,611.92 : x
  2. Step 2: Convert to fraction form
    382,398.42/573,080.88 = 145,611.92/x
  3. Step 3: Cross multiply
    382,398.42x = 573,080.88 × 145,611.92
  4. Step 4: Simplify right side
    382,398.42x = 83,447,407,252.09
  5. Step 5: Solve for x
    x = 83,447,407,252.09/382,398.42
  6. Step 6: Final answer
    x = 218,221.11

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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.