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Finding the Fourth Proportional to 462,101.28, 693,218.04 and 142,280.21

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Solution

The fourth proportional to 462,101.28, 693,218.04 and 142,280.21 is: 213,440.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,101.28 : 693,218.04 = 142,280.21 : x
  2. Step 2: Convert to fraction form
    462,101.28/693,218.04 = 142,280.21/x
  3. Step 3: Cross multiply
    462,101.28x = 693,218.04 × 142,280.21
  4. Step 4: Simplify right side
    462,101.28x = 98,631,204,129.50
  5. Step 5: Solve for x
    x = 98,631,204,129.50/462,101.28
  6. Step 6: Final answer
    x = 213,440.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.