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Finding the Fourth Proportional to 420,082.53, 630,123.86 and 104,539.40

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Solution

The fourth proportional to 420,082.53, 630,123.86 and 104,539.40 is: 156,809.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,082.53 : 630,123.86 = 104,539.40 : x
  2. Step 2: Convert to fraction form
    420,082.53/630,123.86 = 104,539.40/x
  3. Step 3: Cross multiply
    420,082.53x = 630,123.86 × 104,539.40
  4. Step 4: Simplify right side
    420,082.53x = 65,872,770,250.08
  5. Step 5: Solve for x
    x = 65,872,770,250.08/420,082.53
  6. Step 6: Final answer
    x = 156,809.12

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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.