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Finding the Fourth Proportional to 428,191.20, 642,135.60 and 147,643.20

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Solution

The fourth proportional to 428,191.20, 642,135.60 and 147,643.20 is: 221,412.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,191.20 : 642,135.60 = 147,643.20 : x
  2. Step 2: Convert to fraction form
    428,191.20/642,135.60 = 147,643.20/x
  3. Step 3: Cross multiply
    428,191.20x = 642,135.60 × 147,643.20
  4. Step 4: Simplify right side
    428,191.20x = 94,806,954,817.92
  5. Step 5: Solve for x
    x = 94,806,954,817.92/428,191.20
  6. Step 6: Final answer
    x = 221,412.67

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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.