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Finding the Fourth Proportional to 657,314.56, 985,971.88 and 214,082.56

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Solution

The fourth proportional to 657,314.56, 985,971.88 and 214,082.56 is: 321,123.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,314.56 : 985,971.88 = 214,082.56 : x
  2. Step 2: Convert to fraction form
    657,314.56/985,971.88 = 214,082.56/x
  3. Step 3: Cross multiply
    657,314.56x = 985,971.88 × 214,082.56
  4. Step 4: Simplify right side
    657,314.56x = 211,079,384,158.41
  5. Step 5: Solve for x
    x = 211,079,384,158.41/657,314.56
  6. Step 6: Final answer
    x = 321,123.85

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Double scale
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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.