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Finding the Fourth Proportional to 492,075.40, 738,113.10 and 137,144.20

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Solution

The fourth proportional to 492,075.40, 738,113.10 and 137,144.20 is: 205,716.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,075.40 : 738,113.10 = 137,144.20 : x
  2. Step 2: Convert to fraction form
    492,075.40/738,113.10 = 137,144.20/x
  3. Step 3: Cross multiply
    492,075.40x = 738,113.10 × 137,144.20
  4. Step 4: Simplify right side
    492,075.40x = 101,227,930,609.02
  5. Step 5: Solve for x
    x = 101,227,930,609.02/492,075.40
  6. Step 6: Final answer
    x = 205,716.30

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Similar ratio
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1.5x scale

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.