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Finding the Fourth Proportional to 404,715.20, 607,072.80 and 205,649.60

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Solution

The fourth proportional to 404,715.20, 607,072.80 and 205,649.60 is: 308,474.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,715.20 : 607,072.80 = 205,649.60 : x
  2. Step 2: Convert to fraction form
    404,715.20/607,072.80 = 205,649.60/x
  3. Step 3: Cross multiply
    404,715.20x = 607,072.80 × 205,649.60
  4. Step 4: Simplify right side
    404,715.20x = 124,844,278,490.88
  5. Step 5: Solve for x
    x = 124,844,278,490.88/404,715.20
  6. Step 6: Final answer
    x = 308,474.40

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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.