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Finding the Fourth Proportional to 308,400.40, 461,909.40 and 183,984.40

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Solution

The fourth proportional to 308,400.40, 461,909.40 and 183,984.40 is: 275,564.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,400.40 : 461,909.40 = 183,984.40 : x
  2. Step 2: Convert to fraction form
    308,400.40/461,909.40 = 183,984.40/x
  3. Step 3: Cross multiply
    308,400.40x = 461,909.40 × 183,984.40
  4. Step 4: Simplify right side
    308,400.40x = 84,984,123,813.36
  5. Step 5: Solve for x
    x = 84,984,123,813.36/308,400.40
  6. Step 6: Final answer
    x = 275,564.25

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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.