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Finding the Fourth Proportional to 492,071.40, 738,107.10 and 137,140.20

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Solution

The fourth proportional to 492,071.40, 738,107.10 and 137,140.20 is: 205,710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,071.40 : 738,107.10 = 137,140.20 : x
  2. Step 2: Convert to fraction form
    492,071.40/738,107.10 = 137,140.20/x
  3. Step 3: Cross multiply
    492,071.40x = 738,107.10 × 137,140.20
  4. Step 4: Simplify right side
    492,071.40x = 101,224,155,315.42
  5. Step 5: Solve for x
    x = 101,224,155,315.42/492,071.40
  6. Step 6: Final answer
    x = 205,710.30

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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.