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Finding the Fourth Proportional to 407,907.80, 611,861.70 and 257,660.90

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Solution

The fourth proportional to 407,907.80, 611,861.70 and 257,660.90 is: 386,491.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,907.80 : 611,861.70 = 257,660.90 : x
  2. Step 2: Convert to fraction form
    407,907.80/611,861.70 = 257,660.90/x
  3. Step 3: Cross multiply
    407,907.80x = 611,861.70 × 257,660.90
  4. Step 4: Simplify right side
    407,907.80x = 157,652,836,297.53
  5. Step 5: Solve for x
    x = 157,652,836,297.53/407,907.80
  6. Step 6: Final answer
    x = 386,491.35

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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.