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Finding the Fourth Proportional to 605,435.40, 907,505.10 and 205,705.80

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Solution

The fourth proportional to 605,435.40, 907,505.10 and 205,705.80 is: 308,338.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,435.40 : 907,505.10 = 205,705.80 : x
  2. Step 2: Convert to fraction form
    605,435.40/907,505.10 = 205,705.80/x
  3. Step 3: Cross multiply
    605,435.40x = 907,505.10 × 205,705.80
  4. Step 4: Simplify right side
    605,435.40x = 186,679,062,599.58
  5. Step 5: Solve for x
    x = 186,679,062,599.58/605,435.40
  6. Step 6: Final answer
    x = 308,338.53

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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.