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Finding the Fourth Proportional to 313,159.50, 469,817.28 and 91,543.50

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Solution

The fourth proportional to 313,159.50, 469,817.28 and 91,543.50 is: 137,338.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,159.50 : 469,817.28 = 91,543.50 : x
  2. Step 2: Convert to fraction form
    313,159.50/469,817.28 = 91,543.50/x
  3. Step 3: Cross multiply
    313,159.50x = 469,817.28 × 91,543.50
  4. Step 4: Simplify right side
    313,159.50x = 43,008,718,171.68
  5. Step 5: Solve for x
    x = 43,008,718,171.68/313,159.50
  6. Step 6: Final answer
    x = 137,338.06

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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.