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Finding the Fourth Proportional to 313,686.76, 470,265.56 and 136,059.96

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Solution

The fourth proportional to 313,686.76, 470,265.56 and 136,059.96 is: 203,975.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,686.76 : 470,265.56 = 136,059.96 : x
  2. Step 2: Convert to fraction form
    313,686.76/470,265.56 = 136,059.96/x
  3. Step 3: Cross multiply
    313,686.76x = 470,265.56 × 136,059.96
  4. Step 4: Simplify right side
    313,686.76x = 63,984,313,282.98
  5. Step 5: Solve for x
    x = 63,984,313,282.98/313,686.76
  6. Step 6: Final answer
    x = 203,975.18

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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.