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Finding the Fourth Proportional to 382,465.60, 573,813.60 and 205,057.60

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Solution

The fourth proportional to 382,465.60, 573,813.60 and 205,057.60 is: 307,648.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,465.60 : 573,813.60 = 205,057.60 : x
  2. Step 2: Convert to fraction form
    382,465.60/573,813.60 = 205,057.60/x
  3. Step 3: Cross multiply
    382,465.60x = 573,813.60 × 205,057.60
  4. Step 4: Simplify right side
    382,465.60x = 117,664,839,663.36
  5. Step 5: Solve for x
    x = 117,664,839,663.36/382,465.60
  6. Step 6: Final answer
    x = 307,648.16

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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.