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Finding the Fourth Proportional to 605,529.40, 907,646.10 and 205,799.80

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Solution

The fourth proportional to 605,529.40, 907,646.10 and 205,799.80 is: 308,479.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,529.40 : 907,646.10 = 205,799.80 : x
  2. Step 2: Convert to fraction form
    605,529.40/907,646.10 = 205,799.80/x
  3. Step 3: Cross multiply
    605,529.40x = 907,646.10 × 205,799.80
  4. Step 4: Simplify right side
    605,529.40x = 186,793,385,850.78
  5. Step 5: Solve for x
    x = 186,793,385,850.78/605,529.40
  6. Step 6: Final answer
    x = 308,479.47

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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.