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Finding the Fourth Proportional to 413,551.40, 620,435.10 and 133,075.40

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Solution

The fourth proportional to 413,551.40, 620,435.10 and 133,075.40 is: 199,647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,551.40 : 620,435.10 = 133,075.40 : x
  2. Step 2: Convert to fraction form
    413,551.40/620,435.10 = 133,075.40/x
  3. Step 3: Cross multiply
    413,551.40x = 620,435.10 × 133,075.40
  4. Step 4: Simplify right side
    413,551.40x = 82,564,649,106.54
  5. Step 5: Solve for x
    x = 82,564,649,106.54/413,551.40
  6. Step 6: Final answer
    x = 199,647.85

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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.