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Finding the Fourth Proportional to 417,870.40, 627,215.20 and 207,745.60

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Solution

The fourth proportional to 417,870.40, 627,215.20 and 207,745.60 is: 311,822.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,870.40 : 627,215.20 = 207,745.60 : x
  2. Step 2: Convert to fraction form
    417,870.40/627,215.20 = 207,745.60/x
  3. Step 3: Cross multiply
    417,870.40x = 627,215.20 × 207,745.60
  4. Step 4: Simplify right side
    417,870.40x = 130,301,198,053.12
  5. Step 5: Solve for x
    x = 130,301,198,053.12/417,870.40
  6. Step 6: Final answer
    x = 311,822.03

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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.