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Finding the Fourth Proportional to 605,357.40, 907,388.10 and 205,627.80

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Solution

The fourth proportional to 605,357.40, 907,388.10 and 205,627.80 is: 308,221.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,357.40 : 907,388.10 = 205,627.80 : x
  2. Step 2: Convert to fraction form
    605,357.40/907,388.10 = 205,627.80/x
  3. Step 3: Cross multiply
    605,357.40x = 907,388.10 × 205,627.80
  4. Step 4: Simplify right side
    605,357.40x = 186,584,218,749.18
  5. Step 5: Solve for x
    x = 186,584,218,749.18/605,357.40
  6. Step 6: Final answer
    x = 308,221.59

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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.