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Finding the Fourth Proportional to 428,391, 642,618.81 and 144,082.35

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Solution

The fourth proportional to 428,391, 642,618.81 and 144,082.35 is: 216,134.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,391 : 642,618.81 = 144,082.35 : x
  2. Step 2: Convert to fraction form
    428,391/642,618.81 = 144,082.35/x
  3. Step 3: Cross multiply
    428,391x = 642,618.81 × 144,082.35
  4. Step 4: Simplify right side
    428,391x = 92,590,028,299.00
  5. Step 5: Solve for x
    x = 92,590,028,299.00/428,391
  6. Step 6: Final answer
    x = 216,134.39

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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.