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Finding the Fourth Proportional to 417,872.40, 627,218.20 and 207,747.60

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Solution

The fourth proportional to 417,872.40, 627,218.20 and 207,747.60 is: 311,825.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,872.40 : 627,218.20 = 207,747.60 : x
  2. Step 2: Convert to fraction form
    417,872.40/627,218.20 = 207,747.60/x
  3. Step 3: Cross multiply
    417,872.40x = 627,218.20 × 207,747.60
  4. Step 4: Simplify right side
    417,872.40x = 130,303,075,726.32
  5. Step 5: Solve for x
    x = 130,303,075,726.32/417,872.40
  6. Step 6: Final answer
    x = 311,825.03

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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.