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Finding the Fourth Proportional to 312,681.12, 468,741.36 and 112,954.56

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Solution

The fourth proportional to 312,681.12, 468,741.36 and 112,954.56 is: 169,330.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,681.12 : 468,741.36 = 112,954.56 : x
  2. Step 2: Convert to fraction form
    312,681.12/468,741.36 = 112,954.56/x
  3. Step 3: Cross multiply
    312,681.12x = 468,741.36 × 112,954.56
  4. Step 4: Simplify right side
    312,681.12x = 52,946,474,072.60
  5. Step 5: Solve for x
    x = 52,946,474,072.60/312,681.12
  6. Step 6: Final answer
    x = 169,330.58

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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.