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Finding the Fourth Proportional to 413,466.92, 620,288.72 and 143,603.41

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Solution

The fourth proportional to 413,466.92, 620,288.72 and 143,603.41 is: 215,435.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,466.92 : 620,288.72 = 143,603.41 : x
  2. Step 2: Convert to fraction form
    413,466.92/620,288.72 = 143,603.41/x
  3. Step 3: Cross multiply
    413,466.92x = 620,288.72 × 143,603.41
  4. Step 4: Simplify right side
    413,466.92x = 89,075,571,557.07
  5. Step 5: Solve for x
    x = 89,075,571,557.07/413,466.92
  6. Step 6: Final answer
    x = 215,435.79

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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.