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Finding the Fourth Proportional to 428,655.53, 642,580.99 and 144,147.14

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Solution

The fourth proportional to 428,655.53, 642,580.99 and 144,147.14 is: 216,085.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,655.53 : 642,580.99 = 144,147.14 : x
  2. Step 2: Convert to fraction form
    428,655.53/642,580.99 = 144,147.14/x
  3. Step 3: Cross multiply
    428,655.53x = 642,580.99 × 144,147.14
  4. Step 4: Simplify right side
    428,655.53x = 92,626,213,172.95
  5. Step 5: Solve for x
    x = 92,626,213,172.95/428,655.53
  6. Step 6: Final answer
    x = 216,085.43

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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.