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Finding the Fourth Proportional to 309,907.40, 464,861.10 and 256,763.30

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Solution

The fourth proportional to 309,907.40, 464,861.10 and 256,763.30 is: 385,144.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,907.40 : 464,861.10 = 256,763.30 : x
  2. Step 2: Convert to fraction form
    309,907.40/464,861.10 = 256,763.30/x
  3. Step 3: Cross multiply
    309,907.40x = 464,861.10 × 256,763.30
  4. Step 4: Simplify right side
    309,907.40x = 119,359,270,077.63
  5. Step 5: Solve for x
    x = 119,359,270,077.63/309,907.40
  6. Step 6: Final answer
    x = 385,144.95

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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.